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Finding the Third Proportional to 331,762 and 500,393

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Solution

The third proportional to 331,762 and 500,393 is: 754,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,762 : 500,393 = 500,393 : x
  2. Step 2: Convert to fraction form
    331,762/500,393 = 500,393/x
  3. Step 3: Cross multiply
    331,762x = 500,393 × 500,393
  4. Step 4: Simplify right side
    331,762x = 250,393,154,449
  5. Step 5: Solve for x
    x = 250,393,154,449/331,762
  6. Step 6: Final answer
    x = 754,737.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.