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Finding the Third Proportional to 203,241 and 446,700

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Solution

The third proportional to 203,241 and 446,700 is: 981,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,241 : 446,700 = 446,700 : x
  2. Step 2: Convert to fraction form
    203,241/446,700 = 446,700/x
  3. Step 3: Cross multiply
    203,241x = 446,700 × 446,700
  4. Step 4: Simplify right side
    203,241x = 199,540,890,000
  5. Step 5: Solve for x
    x = 199,540,890,000/203,241
  6. Step 6: Final answer
    x = 981,794.47

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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.