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Finding the Third Proportional to 269,536 and 449,184

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Solution

The third proportional to 269,536 and 449,184 is: 748,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,536 : 449,184 = 449,184 : x
  2. Step 2: Convert to fraction form
    269,536/449,184 = 449,184/x
  3. Step 3: Cross multiply
    269,536x = 449,184 × 449,184
  4. Step 4: Simplify right side
    269,536x = 201,766,265,856
  5. Step 5: Solve for x
    x = 201,766,265,856/269,536
  6. Step 6: Final answer
    x = 748,568.90

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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.