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Finding the Third Proportional to 267,390 and 580,887

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Solution

The third proportional to 267,390 and 580,887 is: 1,261,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,390 : 580,887 = 580,887 : x
  2. Step 2: Convert to fraction form
    267,390/580,887 = 580,887/x
  3. Step 3: Cross multiply
    267,390x = 580,887 × 580,887
  4. Step 4: Simplify right side
    267,390x = 337,429,706,769
  5. Step 5: Solve for x
    x = 337,429,706,769/267,390
  6. Step 6: Final answer
    x = 1,261,938.39

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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.