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Finding the Third Proportional to 266,726.25 and 408,997.69

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Solution

The third proportional to 266,726.25 and 408,997.69 is: 627,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,726.25 : 408,997.69 = 408,997.69 : x
  2. Step 2: Convert to fraction form
    266,726.25/408,997.69 = 408,997.69/x
  3. Step 3: Cross multiply
    266,726.25x = 408,997.69 × 408,997.69
  4. Step 4: Simplify right side
    266,726.25x = 167,279,108,380.35
  5. Step 5: Solve for x
    x = 167,279,108,380.35/266,726.25
  6. Step 6: Final answer
    x = 627,156.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.