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Finding the Third Proportional to 271,810 and 588,980

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Solution

The third proportional to 271,810 and 588,980 is: 1,276,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810 : 588,980 = 588,980 : x
  2. Step 2: Convert to fraction form
    271,810/588,980 = 588,980/x
  3. Step 3: Cross multiply
    271,810x = 588,980 × 588,980
  4. Step 4: Simplify right side
    271,810x = 346,897,440,400
  5. Step 5: Solve for x
    x = 346,897,440,400/271,810
  6. Step 6: Final answer
    x = 1,276,249.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.