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Finding the Third Proportional to 203,986 and 441,860

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Solution

The third proportional to 203,986 and 441,860 is: 957,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986 : 441,860 = 441,860 : x
  2. Step 2: Convert to fraction form
    203,986/441,860 = 441,860/x
  3. Step 3: Cross multiply
    203,986x = 441,860 × 441,860
  4. Step 4: Simplify right side
    203,986x = 195,240,259,600
  5. Step 5: Solve for x
    x = 195,240,259,600/203,986
  6. Step 6: Final answer
    x = 957,125.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.