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Finding the Third Proportional to 449,961 and 632,842

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Solution

The third proportional to 449,961 and 632,842 is: 890,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,961 : 632,842 = 632,842 : x
  2. Step 2: Convert to fraction form
    449,961/632,842 = 632,842/x
  3. Step 3: Cross multiply
    449,961x = 632,842 × 632,842
  4. Step 4: Simplify right side
    449,961x = 400,488,996,964
  5. Step 5: Solve for x
    x = 400,488,996,964/449,961
  6. Step 6: Final answer
    x = 890,052.69

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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.