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Finding the Third Proportional to 267,394 and 580,896

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Solution

The third proportional to 267,394 and 580,896 is: 1,261,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,394 : 580,896 = 580,896 : x
  2. Step 2: Convert to fraction form
    267,394/580,896 = 580,896/x
  3. Step 3: Cross multiply
    267,394x = 580,896 × 580,896
  4. Step 4: Simplify right side
    267,394x = 337,440,162,816
  5. Step 5: Solve for x
    x = 337,440,162,816/267,394
  6. Step 6: Final answer
    x = 1,261,958.62

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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.