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Finding the Third Proportional to 284,418 and 614,448

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Solution

The third proportional to 284,418 and 614,448 is: 1,327,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418 : 614,448 = 614,448 : x
  2. Step 2: Convert to fraction form
    284,418/614,448 = 614,448/x
  3. Step 3: Cross multiply
    284,418x = 614,448 × 614,448
  4. Step 4: Simplify right side
    284,418x = 377,546,344,704
  5. Step 5: Solve for x
    x = 377,546,344,704/284,418
  6. Step 6: Final answer
    x = 1,327,434.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.