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Finding the Third Proportional to 449,934 and 632,801

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Solution

The third proportional to 449,934 and 632,801 is: 889,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,934 : 632,801 = 632,801 : x
  2. Step 2: Convert to fraction form
    449,934/632,801 = 632,801/x
  3. Step 3: Cross multiply
    449,934x = 632,801 × 632,801
  4. Step 4: Simplify right side
    449,934x = 400,437,105,601
  5. Step 5: Solve for x
    x = 400,437,105,601/449,934
  6. Step 6: Final answer
    x = 889,990.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.