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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

  1. Step 1: Write the proportion equation
    284,691.50 : 418,470 = 418,470 : x
  2. Step 2: Convert to fraction form
    284,691.50/418,470 = 418,470/x
  3. Step 3: Cross multiply
    284,691.50x = 418,470 × 418,470
  4. Step 4: Simplify right side
    284,691.50x = 175,117,140,900
  5. Step 5: Solve for x
    x = 175,117,140,900/284,691.50
  6. 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.