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A map uses a scale in which 1 inch = 200 miles. If the distance between two cities measures 5 inches on the map, how many miles separate the two cities?

Explanation

The ratio of inch to mile is described as \(\frac{1 \text { inch }}{200 \text { miles }}\)

The question can be represented in a proportion as follows: \(\frac{1 \text { inch }}{200 \text { miles }}=\frac{5 \text { inches }}{?}\)

To find out how many miles are represented by five inches, cross multiply the denominator of the left-hand ratio with the numerator of the right, and then the denominator of the right-hand ratio with the numerator of the left. You'll find? = 1,000.

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