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Finding the Third Proportional to 267,728 and 557,652

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Solution

The third proportional to 267,728 and 557,652 is: 1,161,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,728 : 557,652 = 557,652 : x
  2. Step 2: Convert to fraction form
    267,728/557,652 = 557,652/x
  3. Step 3: Cross multiply
    267,728x = 557,652 × 557,652
  4. Step 4: Simplify right side
    267,728x = 310,975,753,104
  5. Step 5: Solve for x
    x = 310,975,753,104/267,728
  6. Step 6: Final answer
    x = 1,161,536.16

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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.