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Math . Focus 1. Calculate Percentages The fires in Yellowstone National Park in 1988 burned 739 .000 acres.The park has 2.2 million acres total . What percentage of the park burned?

Question

Math . Focus 1. Calculate Percentages The fires in Yellowstone National Park in 1988 burned 739 .000 acres.The park has 2.2 million acres total . What percentage of the park burned?

Math . Focus
1. Calculate Percentages The
fires in Yellowstone National
Park in 1988 burned 739 .000
acres.The park has 2.2 million
acres total . What percentage of
the park burned?

Solution

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AlphonseElite · Tutor for 8 years

Answer

### Approximately $33.59\%$ of Yellowstone National Park burned in 1988.

Explain

## Step 1: Identify the Part and Whole<br />### The part is the area burned, which is 739,000 acres. The whole is the total area of the park, which is 2.2 million acres.<br />## Step 2: Set Up the Proportion<br />### Let $p$ represent the percentage of the park that burned. Write a proportion to solve for $p$: <br />\[ \frac{739,000}{2,200,000} = \frac{p}{100} \]<br />## Step 3: Solve the Proportion<br />### Cross-multiply to find $p$: <br />\[ 739,000 \times 100 = 2,200,000 \times p \]<br />\[ 73,900,000 = 2,200,000p \]<br />### Divide both sides by 2,200,000 to solve for $p$: <br />\[ p = \frac{73,900,000}{2,200,000} \]<br />\[ p = 33.59 \]
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