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Finding the Third Proportional to 204,614 and 449,835

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Solution

The third proportional to 204,614 and 449,835 is: 988,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,614 : 449,835 = 449,835 : x
  2. Step 2: Convert to fraction form
    204,614/449,835 = 449,835/x
  3. Step 3: Cross multiply
    204,614x = 449,835 × 449,835
  4. Step 4: Simplify right side
    204,614x = 202,351,527,225
  5. Step 5: Solve for x
    x = 202,351,527,225/204,614
  6. Step 6: Final answer
    x = 988,942.73

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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.