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Finding the Third Proportional to 267,387 and 580,881

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Solution

The third proportional to 267,387 and 580,881 is: 1,261,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,387 : 580,881 = 580,881 : x
  2. Step 2: Convert to fraction form
    267,387/580,881 = 580,881/x
  3. Step 3: Cross multiply
    267,387x = 580,881 × 580,881
  4. Step 4: Simplify right side
    267,387x = 337,422,736,161
  5. Step 5: Solve for x
    x = 337,422,736,161/267,387
  6. Step 6: Final answer
    x = 1,261,926.48

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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.