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Finding the Third Proportional to 271,857 and 632,058

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Solution

The third proportional to 271,857 and 632,058 is: 1,469,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,857 : 632,058 = 632,058 : x
  2. Step 2: Convert to fraction form
    271,857/632,058 = 632,058/x
  3. Step 3: Cross multiply
    271,857x = 632,058 × 632,058
  4. Step 4: Simplify right side
    271,857x = 399,497,315,364
  5. Step 5: Solve for x
    x = 399,497,315,364/271,857
  6. Step 6: Final answer
    x = 1,469,512.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.