Finding the Third Proportional to 284,691.50 and 418,470
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Solution
The third proportional to 284,691.50 and 418,470 is: 615,111.94
Step by Step Solution
- Step 1: Write the proportion equation
284,691.50 : 418,470 = 418,470 : x - Step 2: Convert to fraction form
284,691.50/418,470 = 418,470/x - Step 3: Cross multiply
284,691.50x = 418,470 × 418,470 - Step 4: Simplify right side
284,691.50x = 175,117,140,900 - Step 5: Solve for x
x = 175,117,140,900/284,691.50 - Step 6: Final answer
x = 615,111.94
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.