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Finding the Third Proportional to 203,593.50 and 447,337.69

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Solution

The third proportional to 203,593.50 and 447,337.69 is: 982,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,593.50 : 447,337.69 = 447,337.69 : x
  2. Step 2: Convert to fraction form
    203,593.50/447,337.69 = 447,337.69/x
  3. Step 3: Cross multiply
    203,593.50x = 447,337.69 × 447,337.69
  4. Step 4: Simplify right side
    203,593.50x = 200,111,006,657.85
  5. Step 5: Solve for x
    x = 200,111,006,657.85/203,593.50
  6. Step 6: Final answer
    x = 982,894.87

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