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Finding the Third Proportional to 269,426.25 and 449,025.75

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Solution

The third proportional to 269,426.25 and 449,025.75 is: 748,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,426.25 : 449,025.75 = 449,025.75 : x
  2. Step 2: Convert to fraction form
    269,426.25/449,025.75 = 449,025.75/x
  3. Step 3: Cross multiply
    269,426.25x = 449,025.75 × 449,025.75
  4. Step 4: Simplify right side
    269,426.25x = 201,624,124,163.06
  5. Step 5: Solve for x
    x = 201,624,124,163.06/269,426.25
  6. Step 6: Final answer
    x = 748,346.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.