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Finding the Third Proportional to 203,811 and 416,694

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Solution

The third proportional to 203,811 and 416,694 is: 851,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,811 : 416,694 = 416,694 : x
  2. Step 2: Convert to fraction form
    203,811/416,694 = 416,694/x
  3. Step 3: Cross multiply
    203,811x = 416,694 × 416,694
  4. Step 4: Simplify right side
    203,811x = 173,633,889,636
  5. Step 5: Solve for x
    x = 173,633,889,636/203,811
  6. Step 6: Final answer
    x = 851,935.81

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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.