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Finding the Third Proportional to 267,923 and 577,911

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Solution

The third proportional to 267,923 and 577,911 is: 1,246,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,923 : 577,911 = 577,911 : x
  2. Step 2: Convert to fraction form
    267,923/577,911 = 577,911/x
  3. Step 3: Cross multiply
    267,923x = 577,911 × 577,911
  4. Step 4: Simplify right side
    267,923x = 333,981,123,921
  5. Step 5: Solve for x
    x = 333,981,123,921/267,923
  6. Step 6: Final answer
    x = 1,246,556.38

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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.