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Finding the Third Proportional to 508,776 and 747,564

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Solution

The third proportional to 508,776 and 747,564 is: 1,098,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,776 : 747,564 = 747,564 : x
  2. Step 2: Convert to fraction form
    508,776/747,564 = 747,564/x
  3. Step 3: Cross multiply
    508,776x = 747,564 × 747,564
  4. Step 4: Simplify right side
    508,776x = 558,851,934,096
  5. Step 5: Solve for x
    x = 558,851,934,096/508,776
  6. Step 6: Final answer
    x = 1,098,424.32

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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.