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Finding the Third Proportional to 203,199 and 446,620

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Solution

The third proportional to 203,199 and 446,620 is: 981,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199 : 446,620 = 446,620 : x
  2. Step 2: Convert to fraction form
    203,199/446,620 = 446,620/x
  3. Step 3: Cross multiply
    203,199x = 446,620 × 446,620
  4. Step 4: Simplify right side
    203,199x = 199,469,424,400
  5. Step 5: Solve for x
    x = 199,469,424,400/203,199
  6. Step 6: Final answer
    x = 981,645.70

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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.