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Finding the Third Proportional to 269,414.86 and 449,007.05

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Solution

The third proportional to 269,414.86 and 449,007.05 is: 748,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,414.86 : 449,007.05 = 449,007.05 : x
  2. Step 2: Convert to fraction form
    269,414.86/449,007.05 = 449,007.05/x
  3. Step 3: Cross multiply
    269,414.86x = 449,007.05 × 449,007.05
  4. Step 4: Simplify right side
    269,414.86x = 201,607,328,143.41
  5. Step 5: Solve for x
    x = 201,607,328,143.41/269,414.86
  6. Step 6: Final answer
    x = 748,315.55

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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.