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Finding the Third Proportional to 271,244 and 394,554

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Solution

The third proportional to 271,244 and 394,554 is: 573,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,244 : 394,554 = 394,554 : x
  2. Step 2: Convert to fraction form
    271,244/394,554 = 394,554/x
  3. Step 3: Cross multiply
    271,244x = 394,554 × 394,554
  4. Step 4: Simplify right side
    271,244x = 155,672,858,916
  5. Step 5: Solve for x
    x = 155,672,858,916/271,244
  6. Step 6: Final answer
    x = 573,921.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.