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Finding the Third Proportional to 252,710 and 394,269

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Solution

The third proportional to 252,710 and 394,269 is: 615,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,710 : 394,269 = 394,269 : x
  2. Step 2: Convert to fraction form
    252,710/394,269 = 394,269/x
  3. Step 3: Cross multiply
    252,710x = 394,269 × 394,269
  4. Step 4: Simplify right side
    252,710x = 155,448,044,361
  5. Step 5: Solve for x
    x = 155,448,044,361/252,710
  6. Step 6: Final answer
    x = 615,124.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.