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Finding the Third Proportional to 381,845 and 754,051

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Solution

The third proportional to 381,845 and 754,051 is: 1,489,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,845 : 754,051 = 754,051 : x
  2. Step 2: Convert to fraction form
    381,845/754,051 = 754,051/x
  3. Step 3: Cross multiply
    381,845x = 754,051 × 754,051
  4. Step 4: Simplify right side
    381,845x = 568,592,910,601
  5. Step 5: Solve for x
    x = 568,592,910,601/381,845
  6. Step 6: Final answer
    x = 1,489,067.32

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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.