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Finding the Third Proportional to 267,123 and 576,381

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Solution

The third proportional to 267,123 and 576,381 is: 1,243,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,123 : 576,381 = 576,381 : x
  2. Step 2: Convert to fraction form
    267,123/576,381 = 576,381/x
  3. Step 3: Cross multiply
    267,123x = 576,381 × 576,381
  4. Step 4: Simplify right side
    267,123x = 332,215,057,161
  5. Step 5: Solve for x
    x = 332,215,057,161/267,123
  6. Step 6: Final answer
    x = 1,243,678.22

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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.