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Finding the Third Proportional to 271,760 and 411,744

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Solution

The third proportional to 271,760 and 411,744 is: 623,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,760 : 411,744 = 411,744 : x
  2. Step 2: Convert to fraction form
    271,760/411,744 = 411,744/x
  3. Step 3: Cross multiply
    271,760x = 411,744 × 411,744
  4. Step 4: Simplify right side
    271,760x = 169,533,121,536
  5. Step 5: Solve for x
    x = 169,533,121,536/271,760
  6. Step 6: Final answer
    x = 623,833.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.