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Finding the Third Proportional to 267,531.75 and 557,207

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Solution

The third proportional to 267,531.75 and 557,207 is: 1,160,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,531.75 : 557,207 = 557,207 : x
  2. Step 2: Convert to fraction form
    267,531.75/557,207 = 557,207/x
  3. Step 3: Cross multiply
    267,531.75x = 557,207 × 557,207
  4. Step 4: Simplify right side
    267,531.75x = 310,479,640,849
  5. Step 5: Solve for x
    x = 310,479,640,849/267,531.75
  6. Step 6: Final answer
    x = 1,160,533.81

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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.