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Finding the Third Proportional to 267,532 and 557,207

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Solution

The third proportional to 267,532 and 557,207 is: 1,160,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,532 : 557,207 = 557,207 : x
  2. Step 2: Convert to fraction form
    267,532/557,207 = 557,207/x
  3. Step 3: Cross multiply
    267,532x = 557,207 × 557,207
  4. Step 4: Simplify right side
    267,532x = 310,479,640,849
  5. Step 5: Solve for x
    x = 310,479,640,849/267,532
  6. Step 6: Final answer
    x = 1,160,532.72

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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.