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Finding the Third Proportional to 381,340.13 and 522,901.13

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Solution

The third proportional to 381,340.13 and 522,901.13 is: 717,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,340.13 : 522,901.13 = 522,901.13 : x
  2. Step 2: Convert to fraction form
    381,340.13/522,901.13 = 522,901.13/x
  3. Step 3: Cross multiply
    381,340.13x = 522,901.13 × 522,901.13
  4. Step 4: Simplify right side
    381,340.13x = 273,425,586,526.27
  5. Step 5: Solve for x
    x = 273,425,586,526.27/381,340.13
  6. Step 6: Final answer
    x = 717,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.