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Finding the Third Proportional to 267,622 and 391,384

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Solution

The third proportional to 267,622 and 391,384 is: 572,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,622 : 391,384 = 391,384 : x
  2. Step 2: Convert to fraction form
    267,622/391,384 = 391,384/x
  3. Step 3: Cross multiply
    267,622x = 391,384 × 391,384
  4. Step 4: Simplify right side
    267,622x = 153,181,435,456
  5. Step 5: Solve for x
    x = 153,181,435,456/267,622
  6. Step 6: Final answer
    x = 572,379.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.