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Finding the Third Proportional to 381,267 and 752,965.88

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Solution

The third proportional to 381,267 and 752,965.88 is: 1,487,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,267 : 752,965.88 = 752,965.88 : x
  2. Step 2: Convert to fraction form
    381,267/752,965.88 = 752,965.88/x
  3. Step 3: Cross multiply
    381,267x = 752,965.88 × 752,965.88
  4. Step 4: Simplify right side
    381,267x = 566,957,608,914.52
  5. Step 5: Solve for x
    x = 566,957,608,914.52/381,267
  6. Step 6: Final answer
    x = 1,487,035.62

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