Finding the Third Proportional to 316,446 and 422,715
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Solution
The third proportional to 316,446 and 422,715 is: 564,671.29
Step by Step Solution
- Step 1: Write the proportion equation
316,446 : 422,715 = 422,715 : x - Step 2: Convert to fraction form
316,446/422,715 = 422,715/x - Step 3: Cross multiply
316,446x = 422,715 × 422,715 - Step 4: Simplify right side
316,446x = 178,687,971,225 - Step 5: Solve for x
x = 178,687,971,225/316,446 - Step 6: Final answer
x = 564,671.29
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.