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Finding the Third Proportional to 449,962 and 632,924

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Solution

The third proportional to 449,962 and 632,924 is: 890,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,962 : 632,924 = 632,924 : x
  2. Step 2: Convert to fraction form
    449,962/632,924 = 632,924/x
  3. Step 3: Cross multiply
    449,962x = 632,924 × 632,924
  4. Step 4: Simplify right side
    449,962x = 400,592,789,776
  5. Step 5: Solve for x
    x = 400,592,789,776/449,962
  6. Step 6: Final answer
    x = 890,281.38

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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.