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Finding the Third Proportional to 267,534 and 557,211

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Solution

The third proportional to 267,534 and 557,211 is: 1,160,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,534 : 557,211 = 557,211 : x
  2. Step 2: Convert to fraction form
    267,534/557,211 = 557,211/x
  3. Step 3: Cross multiply
    267,534x = 557,211 × 557,211
  4. Step 4: Simplify right side
    267,534x = 310,484,098,521
  5. Step 5: Solve for x
    x = 310,484,098,521/267,534
  6. Step 6: Final answer
    x = 1,160,540.71

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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.