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Finding the Third Proportional to 532,119.38 and 826,162.88

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Solution

The third proportional to 532,119.38 and 826,162.88 is: 1,282,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,119.38 : 826,162.88 = 826,162.88 : x
  2. Step 2: Convert to fraction form
    532,119.38/826,162.88 = 826,162.88/x
  3. Step 3: Cross multiply
    532,119.38x = 826,162.88 × 826,162.88
  4. Step 4: Simplify right side
    532,119.38x = 682,545,096,028.27
  5. Step 5: Solve for x
    x = 682,545,096,028.27/532,119.38
  6. Step 6: Final answer
    x = 1,282,691.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.