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Finding the Third Proportional to 266,650 and 375,027

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Solution

The third proportional to 266,650 and 375,027 is: 527,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,650 : 375,027 = 375,027 : x
  2. Step 2: Convert to fraction form
    266,650/375,027 = 375,027/x
  3. Step 3: Cross multiply
    266,650x = 375,027 × 375,027
  4. Step 4: Simplify right side
    266,650x = 140,645,250,729
  5. Step 5: Solve for x
    x = 140,645,250,729/266,650
  6. Step 6: Final answer
    x = 527,452.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.