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Finding the Third Proportional to 267,631 and 577,039

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Solution

The third proportional to 267,631 and 577,039 is: 1,244,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,631 : 577,039 = 577,039 : x
  2. Step 2: Convert to fraction form
    267,631/577,039 = 577,039/x
  3. Step 3: Cross multiply
    267,631x = 577,039 × 577,039
  4. Step 4: Simplify right side
    267,631x = 332,974,007,521
  5. Step 5: Solve for x
    x = 332,974,007,521/267,631
  6. Step 6: Final answer
    x = 1,244,153.36

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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.