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Finding the Third Proportional to 253,571 and 394,896.50

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Solution

The third proportional to 253,571 and 394,896.50 is: 614,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,571 : 394,896.50 = 394,896.50 : x
  2. Step 2: Convert to fraction form
    253,571/394,896.50 = 394,896.50/x
  3. Step 3: Cross multiply
    253,571x = 394,896.50 × 394,896.50
  4. Step 4: Simplify right side
    253,571x = 155,943,245,712.25
  5. Step 5: Solve for x
    x = 155,943,245,712.25/253,571
  6. Step 6: Final answer
    x = 614,988.49

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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.