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Finding the Third Proportional to 508,598 and 747,327

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Solution

The third proportional to 508,598 and 747,327 is: 1,098,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,598 : 747,327 = 747,327 : x
  2. Step 2: Convert to fraction form
    508,598/747,327 = 747,327/x
  3. Step 3: Cross multiply
    508,598x = 747,327 × 747,327
  4. Step 4: Simplify right side
    508,598x = 558,497,644,929
  5. Step 5: Solve for x
    x = 558,497,644,929/508,598
  6. Step 6: Final answer
    x = 1,098,112.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.