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Finding the Third Proportional to 271,462 and 591,116

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Solution

The third proportional to 271,462 and 591,116 is: 1,287,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,462 : 591,116 = 591,116 : x
  2. Step 2: Convert to fraction form
    271,462/591,116 = 591,116/x
  3. Step 3: Cross multiply
    271,462x = 591,116 × 591,116
  4. Step 4: Simplify right side
    271,462x = 349,418,125,456
  5. Step 5: Solve for x
    x = 349,418,125,456/271,462
  6. Step 6: Final answer
    x = 1,287,171.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.