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Finding the Third Proportional to 300,494 and 449,801

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Solution

The third proportional to 300,494 and 449,801 is: 673,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,494 : 449,801 = 449,801 : x
  2. Step 2: Convert to fraction form
    300,494/449,801 = 449,801/x
  3. Step 3: Cross multiply
    300,494x = 449,801 × 449,801
  4. Step 4: Simplify right side
    300,494x = 202,320,939,601
  5. Step 5: Solve for x
    x = 202,320,939,601/300,494
  6. Step 6: Final answer
    x = 673,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.