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Finding the Third Proportional to 266,626 and 374,991

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Solution

The third proportional to 266,626 and 374,991 is: 527,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,626 : 374,991 = 374,991 : x
  2. Step 2: Convert to fraction form
    266,626/374,991 = 374,991/x
  3. Step 3: Cross multiply
    266,626x = 374,991 × 374,991
  4. Step 4: Simplify right side
    266,626x = 140,618,250,081
  5. Step 5: Solve for x
    x = 140,618,250,081/266,626
  6. Step 6: Final answer
    x = 527,398.87

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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.