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Finding the Third Proportional to 267,391 and 580,889

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Solution

The third proportional to 267,391 and 580,889 is: 1,261,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,391 : 580,889 = 580,889 : x
  2. Step 2: Convert to fraction form
    267,391/580,889 = 580,889/x
  3. Step 3: Cross multiply
    267,391x = 580,889 × 580,889
  4. Step 4: Simplify right side
    267,391x = 337,432,030,321
  5. Step 5: Solve for x
    x = 337,432,030,321/267,391
  6. Step 6: Final answer
    x = 1,261,942.36

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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.