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Finding the Third Proportional to 204,632 and 419,104

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Solution

The third proportional to 204,632 and 419,104 is: 858,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,632 : 419,104 = 419,104 : x
  2. Step 2: Convert to fraction form
    204,632/419,104 = 419,104/x
  3. Step 3: Cross multiply
    204,632x = 419,104 × 419,104
  4. Step 4: Simplify right side
    204,632x = 175,648,162,816
  5. Step 5: Solve for x
    x = 175,648,162,816/204,632
  6. Step 6: Final answer
    x = 858,361.17

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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.