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Finding the Third Proportional to 271,296 and 394,608

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Solution

The third proportional to 271,296 and 394,608 is: 573,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296 : 394,608 = 394,608 : x
  2. Step 2: Convert to fraction form
    271,296/394,608 = 394,608/x
  3. Step 3: Cross multiply
    271,296x = 394,608 × 394,608
  4. Step 4: Simplify right side
    271,296x = 155,715,473,664
  5. Step 5: Solve for x
    x = 155,715,473,664/271,296
  6. Step 6: Final answer
    x = 573,968.93

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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.