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Finding the Third Proportional to 650,151.38 and 862,681.13

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Solution

The third proportional to 650,151.38 and 862,681.13 is: 1,144,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,151.38 : 862,681.13 = 862,681.13 : x
  2. Step 2: Convert to fraction form
    650,151.38/862,681.13 = 862,681.13/x
  3. Step 3: Cross multiply
    650,151.38x = 862,681.13 × 862,681.13
  4. Step 4: Simplify right side
    650,151.38x = 744,218,723,431.27
  5. Step 5: Solve for x
    x = 744,218,723,431.27/650,151.38
  6. Step 6: Final answer
    x = 1,144,685.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.