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Finding the Third Proportional to 203,214 and 446,652

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Solution

The third proportional to 203,214 and 446,652 is: 981,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,214 : 446,652 = 446,652 : x
  2. Step 2: Convert to fraction form
    203,214/446,652 = 446,652/x
  3. Step 3: Cross multiply
    203,214x = 446,652 × 446,652
  4. Step 4: Simplify right side
    203,214x = 199,498,009,104
  5. Step 5: Solve for x
    x = 199,498,009,104/203,214
  6. Step 6: Final answer
    x = 981,713.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.