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Finding the Third Proportional to 404,178.75 and 561,972.38

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Solution

The third proportional to 404,178.75 and 561,972.38 is: 781,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,178.75 : 561,972.38 = 561,972.38 : x
  2. Step 2: Convert to fraction form
    404,178.75/561,972.38 = 561,972.38/x
  3. Step 3: Cross multiply
    404,178.75x = 561,972.38 × 561,972.38
  4. Step 4: Simplify right side
    404,178.75x = 315,812,950,263.14
  5. Step 5: Solve for x
    x = 315,812,950,263.14/404,178.75
  6. Step 6: Final answer
    x = 781,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.