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Finding the Third Proportional to 337,593 and 522,564

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Solution

The third proportional to 337,593 and 522,564 is: 808,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,593 : 522,564 = 522,564 : x
  2. Step 2: Convert to fraction form
    337,593/522,564 = 522,564/x
  3. Step 3: Cross multiply
    337,593x = 522,564 × 522,564
  4. Step 4: Simplify right side
    337,593x = 273,073,134,096
  5. Step 5: Solve for x
    x = 273,073,134,096/337,593
  6. Step 6: Final answer
    x = 808,882.69

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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.