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Finding the Third Proportional to 203,527.69 and 447,651.56

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Solution

The third proportional to 203,527.69 and 447,651.56 is: 984,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,527.69 : 447,651.56 = 447,651.56 : x
  2. Step 2: Convert to fraction form
    203,527.69/447,651.56 = 447,651.56/x
  3. Step 3: Cross multiply
    203,527.69x = 447,651.56 × 447,651.56
  4. Step 4: Simplify right side
    203,527.69x = 200,391,921,408.69
  5. Step 5: Solve for x
    x = 200,391,921,408.69/203,527.69
  6. Step 6: Final answer
    x = 984,592.93

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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.