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Finding the Third Proportional to 532,099.13 and 826,129.13

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Solution

The third proportional to 532,099.13 and 826,129.13 is: 1,282,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,099.13 : 826,129.13 = 826,129.13 : x
  2. Step 2: Convert to fraction form
    532,099.13/826,129.13 = 826,129.13/x
  3. Step 3: Cross multiply
    532,099.13x = 826,129.13 × 826,129.13
  4. Step 4: Simplify right side
    532,099.13x = 682,489,331,173.27
  5. Step 5: Solve for x
    x = 682,489,331,173.27/532,099.13
  6. Step 6: Final answer
    x = 1,282,635.70

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