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Finding the Third Proportional to 253,574.50 and 394,902

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Solution

The third proportional to 253,574.50 and 394,902 is: 614,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,574.50 : 394,902 = 394,902 : x
  2. Step 2: Convert to fraction form
    253,574.50/394,902 = 394,902/x
  3. Step 3: Cross multiply
    253,574.50x = 394,902 × 394,902
  4. Step 4: Simplify right side
    253,574.50x = 155,947,589,604
  5. Step 5: Solve for x
    x = 155,947,589,604/253,574.50
  6. Step 6: Final answer
    x = 614,997.13

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