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Finding the Third Proportional to 267,438 and 557,286

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Solution

The third proportional to 267,438 and 557,286 is: 1,161,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,438 : 557,286 = 557,286 : x
  2. Step 2: Convert to fraction form
    267,438/557,286 = 557,286/x
  3. Step 3: Cross multiply
    267,438x = 557,286 × 557,286
  4. Step 4: Simplify right side
    267,438x = 310,567,685,796
  5. Step 5: Solve for x
    x = 310,567,685,796/267,438
  6. Step 6: Final answer
    x = 1,161,269.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.