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Finding the Third Proportional to 360,601 and 769,464

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Solution

The third proportional to 360,601 and 769,464 is: 1,641,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,601 : 769,464 = 769,464 : x
  2. Step 2: Convert to fraction form
    360,601/769,464 = 769,464/x
  3. Step 3: Cross multiply
    360,601x = 769,464 × 769,464
  4. Step 4: Simplify right side
    360,601x = 592,074,847,296
  5. Step 5: Solve for x
    x = 592,074,847,296/360,601
  6. Step 6: Final answer
    x = 1,641,911.27

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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.