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Finding the Third Proportional to 372,035 and 807,493

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Solution

The third proportional to 372,035 and 807,493 is: 1,752,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,035 : 807,493 = 807,493 : x
  2. Step 2: Convert to fraction form
    372,035/807,493 = 807,493/x
  3. Step 3: Cross multiply
    372,035x = 807,493 × 807,493
  4. Step 4: Simplify right side
    372,035x = 652,044,945,049
  5. Step 5: Solve for x
    x = 652,044,945,049/372,035
  6. Step 6: Final answer
    x = 1,752,644.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.