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Finding the Third Proportional to 475,446 and 738,561

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Solution

The third proportional to 475,446 and 738,561 is: 1,147,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,446 : 738,561 = 738,561 : x
  2. Step 2: Convert to fraction form
    475,446/738,561 = 738,561/x
  3. Step 3: Cross multiply
    475,446x = 738,561 × 738,561
  4. Step 4: Simplify right side
    475,446x = 545,472,350,721
  5. Step 5: Solve for x
    x = 545,472,350,721/475,446
  6. Step 6: Final answer
    x = 1,147,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.