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Finding the Third Proportional to 381,132 and 752,625

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Solution

The third proportional to 381,132 and 752,625 is: 1,486,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,132 : 752,625 = 752,625 : x
  2. Step 2: Convert to fraction form
    381,132/752,625 = 752,625/x
  3. Step 3: Cross multiply
    381,132x = 752,625 × 752,625
  4. Step 4: Simplify right side
    381,132x = 566,444,390,625
  5. Step 5: Solve for x
    x = 566,444,390,625/381,132
  6. Step 6: Final answer
    x = 1,486,215.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.