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Finding the Third Proportional to 592,251.75 and 928,108.13

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Solution

The third proportional to 592,251.75 and 928,108.13 is: 1,454,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,251.75 : 928,108.13 = 928,108.13 : x
  2. Step 2: Convert to fraction form
    592,251.75/928,108.13 = 928,108.13/x
  3. Step 3: Cross multiply
    592,251.75x = 928,108.13 × 928,108.13
  4. Step 4: Simplify right side
    592,251.75x = 861,384,691,691.02
  5. Step 5: Solve for x
    x = 861,384,691,691.02/592,251.75
  6. Step 6: Final answer
    x = 1,454,423.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.