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Finding the Third Proportional to 267,923 and 577,912

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Solution

The third proportional to 267,923 and 577,912 is: 1,246,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,923 : 577,912 = 577,912 : x
  2. Step 2: Convert to fraction form
    267,923/577,912 = 577,912/x
  3. Step 3: Cross multiply
    267,923x = 577,912 × 577,912
  4. Step 4: Simplify right side
    267,923x = 333,982,279,744
  5. Step 5: Solve for x
    x = 333,982,279,744/267,923
  6. Step 6: Final answer
    x = 1,246,560.69

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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.