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Finding the Third Proportional to 449,965.13 and 632,847.94

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Solution

The third proportional to 449,965.13 and 632,847.94 is: 890,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,965.13 : 632,847.94 = 632,847.94 : x
  2. Step 2: Convert to fraction form
    449,965.13/632,847.94 = 632,847.94/x
  3. Step 3: Cross multiply
    449,965.13x = 632,847.94 × 632,847.94
  4. Step 4: Simplify right side
    449,965.13x = 400,496,511,998.00
  5. Step 5: Solve for x
    x = 400,496,511,998.00/449,965.13
  6. Step 6: Final answer
    x = 890,061.23

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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.