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Finding the Third Proportional to 271,767 and 449,163

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Solution

The third proportional to 271,767 and 449,163 is: 742,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,767 : 449,163 = 449,163 : x
  2. Step 2: Convert to fraction form
    271,767/449,163 = 449,163/x
  3. Step 3: Cross multiply
    271,767x = 449,163 × 449,163
  4. Step 4: Simplify right side
    271,767x = 201,747,400,569
  5. Step 5: Solve for x
    x = 201,747,400,569/271,767
  6. Step 6: Final answer
    x = 742,354.30

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.