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Finding the Third Proportional to 267,389 and 580,885

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Solution

The third proportional to 267,389 and 580,885 is: 1,261,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,389 : 580,885 = 580,885 : x
  2. Step 2: Convert to fraction form
    267,389/580,885 = 580,885/x
  3. Step 3: Cross multiply
    267,389x = 580,885 × 580,885
  4. Step 4: Simplify right side
    267,389x = 337,427,383,225
  5. Step 5: Solve for x
    x = 337,427,383,225/267,389
  6. Step 6: Final answer
    x = 1,261,934.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.