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Finding the Third Proportional to 360,591 and 769,449

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Solution

The third proportional to 360,591 and 769,449 is: 1,641,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,591 : 769,449 = 769,449 : x
  2. Step 2: Convert to fraction form
    360,591/769,449 = 769,449/x
  3. Step 3: Cross multiply
    360,591x = 769,449 × 769,449
  4. Step 4: Simplify right side
    360,591x = 592,051,763,601
  5. Step 5: Solve for x
    x = 592,051,763,601/360,591
  6. Step 6: Final answer
    x = 1,641,892.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.