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Finding the Third Proportional to 271,232 and 394,536

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Solution

The third proportional to 271,232 and 394,536 is: 573,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,232 : 394,536 = 394,536 : x
  2. Step 2: Convert to fraction form
    271,232/394,536 = 394,536/x
  3. Step 3: Cross multiply
    271,232x = 394,536 × 394,536
  4. Step 4: Simplify right side
    271,232x = 155,658,655,296
  5. Step 5: Solve for x
    x = 155,658,655,296/271,232
  6. Step 6: Final answer
    x = 573,894.88

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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.