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Finding the Third Proportional to 271,469 and 356,983

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Solution

The third proportional to 271,469 and 356,983 is: 469,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,469 : 356,983 = 356,983 : x
  2. Step 2: Convert to fraction form
    271,469/356,983 = 356,983/x
  3. Step 3: Cross multiply
    271,469x = 356,983 × 356,983
  4. Step 4: Simplify right side
    271,469x = 127,436,862,289
  5. Step 5: Solve for x
    x = 127,436,862,289/271,469
  6. Step 6: Final answer
    x = 469,434.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.