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Finding the Third Proportional to 204,626 and 419,092

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Solution

The third proportional to 204,626 and 419,092 is: 858,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,626 : 419,092 = 419,092 : x
  2. Step 2: Convert to fraction form
    204,626/419,092 = 419,092/x
  3. Step 3: Cross multiply
    204,626x = 419,092 × 419,092
  4. Step 4: Simplify right side
    204,626x = 175,638,104,464
  5. Step 5: Solve for x
    x = 175,638,104,464/204,626
  6. Step 6: Final answer
    x = 858,337.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.