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Finding the Third Proportional to 404,151.25 and 561,940

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Solution

The third proportional to 404,151.25 and 561,940 is: 781,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,151.25 : 561,940 = 561,940 : x
  2. Step 2: Convert to fraction form
    404,151.25/561,940 = 561,940/x
  3. Step 3: Cross multiply
    404,151.25x = 561,940 × 561,940
  4. Step 4: Simplify right side
    404,151.25x = 315,776,563,600
  5. Step 5: Solve for x
    x = 315,776,563,600/404,151.25
  6. Step 6: Final answer
    x = 781,332.64

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