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Finding the Third Proportional to 559,983.38 and 861,222.38

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Solution

The third proportional to 559,983.38 and 861,222.38 is: 1,324,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,983.38 : 861,222.38 = 861,222.38 : x
  2. Step 2: Convert to fraction form
    559,983.38/861,222.38 = 861,222.38/x
  3. Step 3: Cross multiply
    559,983.38x = 861,222.38 × 861,222.38
  4. Step 4: Simplify right side
    559,983.38x = 741,703,979,200.64
  5. Step 5: Solve for x
    x = 741,703,979,200.64/559,983.38
  6. Step 6: Final answer
    x = 1,324,510.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.