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Finding the Third Proportional to 267,448 and 576,692

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Solution

The third proportional to 267,448 and 576,692 is: 1,243,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,448 : 576,692 = 576,692 : x
  2. Step 2: Convert to fraction form
    267,448/576,692 = 576,692/x
  3. Step 3: Cross multiply
    267,448x = 576,692 × 576,692
  4. Step 4: Simplify right side
    267,448x = 332,573,662,864
  5. Step 5: Solve for x
    x = 332,573,662,864/267,448
  6. Step 6: Final answer
    x = 1,243,507.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.