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Finding the Third Proportional to 449,960.25 and 632,921.25

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Solution

The third proportional to 449,960.25 and 632,921.25 is: 890,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,960.25 : 632,921.25 = 632,921.25 : x
  2. Step 2: Convert to fraction form
    449,960.25/632,921.25 = 632,921.25/x
  3. Step 3: Cross multiply
    449,960.25x = 632,921.25 × 632,921.25
  4. Step 4: Simplify right side
    449,960.25x = 400,589,308,701.56
  5. Step 5: Solve for x
    x = 400,589,308,701.56/449,960.25
  6. Step 6: Final answer
    x = 890,277.10

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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.