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Finding the Third Proportional to 381,792.38 and 561,001.88

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Solution

The third proportional to 381,792.38 and 561,001.88 is: 824,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,792.38 : 561,001.88 = 561,001.88 : x
  2. Step 2: Convert to fraction form
    381,792.38/561,001.88 = 561,001.88/x
  3. Step 3: Cross multiply
    381,792.38x = 561,001.88 × 561,001.88
  4. Step 4: Simplify right side
    381,792.38x = 314,723,103,753.52
  5. Step 5: Solve for x
    x = 314,723,103,753.52/381,792.38
  6. Step 6: Final answer
    x = 824,330.51

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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.