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Finding the Third Proportional to 383,227 and 791,051

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Solution

The third proportional to 383,227 and 791,051 is: 1,632,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,227 : 791,051 = 791,051 : x
  2. Step 2: Convert to fraction form
    383,227/791,051 = 791,051/x
  3. Step 3: Cross multiply
    383,227x = 791,051 × 791,051
  4. Step 4: Simplify right side
    383,227x = 625,761,684,601
  5. Step 5: Solve for x
    x = 625,761,684,601/383,227
  6. Step 6: Final answer
    x = 1,632,874.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.