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Finding the Third Proportional to 250,866 and 606,744

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Solution

The third proportional to 250,866 and 606,744 is: 1,467,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,866 : 606,744 = 606,744 : x
  2. Step 2: Convert to fraction form
    250,866/606,744 = 606,744/x
  3. Step 3: Cross multiply
    250,866x = 606,744 × 606,744
  4. Step 4: Simplify right side
    250,866x = 368,138,281,536
  5. Step 5: Solve for x
    x = 368,138,281,536/250,866
  6. Step 6: Final answer
    x = 1,467,469.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.