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Finding the Third Proportional to 203,836 and 416,744

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Solution

The third proportional to 203,836 and 416,744 is: 852,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,836 : 416,744 = 416,744 : x
  2. Step 2: Convert to fraction form
    203,836/416,744 = 416,744/x
  3. Step 3: Cross multiply
    203,836x = 416,744 × 416,744
  4. Step 4: Simplify right side
    203,836x = 173,675,561,536
  5. Step 5: Solve for x
    x = 173,675,561,536/203,836
  6. Step 6: Final answer
    x = 852,035.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.