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Finding the Third Proportional to 271,242 and 394,551

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Solution

The third proportional to 271,242 and 394,551 is: 573,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,242 : 394,551 = 394,551 : x
  2. Step 2: Convert to fraction form
    271,242/394,551 = 394,551/x
  3. Step 3: Cross multiply
    271,242x = 394,551 × 394,551
  4. Step 4: Simplify right side
    271,242x = 155,670,491,601
  5. Step 5: Solve for x
    x = 155,670,491,601/271,242
  6. Step 6: Final answer
    x = 573,917.36

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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.