Finding the Third Proportional to 465,772 and 721,416
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Solution
The third proportional to 465,772 and 721,416 is: 1,117,372.97
Step by Step Solution
- Step 1: Write the proportion equation
465,772 : 721,416 = 721,416 : x - Step 2: Convert to fraction form
465,772/721,416 = 721,416/x - Step 3: Cross multiply
465,772x = 721,416 × 721,416 - Step 4: Simplify right side
465,772x = 520,441,045,056 - Step 5: Solve for x
x = 520,441,045,056/465,772 - Step 6: Final answer
x = 1,117,372.97
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.