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Finding the Third Proportional to 271,084.50 and 588,906.75

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Solution

The third proportional to 271,084.50 and 588,906.75 is: 1,279,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,084.50 : 588,906.75 = 588,906.75 : x
  2. Step 2: Convert to fraction form
    271,084.50/588,906.75 = 588,906.75/x
  3. Step 3: Cross multiply
    271,084.50x = 588,906.75 × 588,906.75
  4. Step 4: Simplify right side
    271,084.50x = 346,811,160,195.56
  5. Step 5: Solve for x
    x = 346,811,160,195.56/271,084.50
  6. Step 6: Final answer
    x = 1,279,347.07

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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.