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Finding the Third Proportional to 439,212.38 and 596,610.56

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Solution

The third proportional to 439,212.38 and 596,610.56 is: 810,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,212.38 : 596,610.56 = 596,610.56 : x
  2. Step 2: Convert to fraction form
    439,212.38/596,610.56 = 596,610.56/x
  3. Step 3: Cross multiply
    439,212.38x = 596,610.56 × 596,610.56
  4. Step 4: Simplify right side
    439,212.38x = 355,944,163,286.57
  5. Step 5: Solve for x
    x = 355,944,163,286.57/439,212.38
  6. Step 6: Final answer
    x = 810,414.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.