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Finding the Third Proportional to 258,936.75 and 393,811.88

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Solution

The third proportional to 258,936.75 and 393,811.88 is: 598,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,936.75 : 393,811.88 = 393,811.88 : x
  2. Step 2: Convert to fraction form
    258,936.75/393,811.88 = 393,811.88/x
  3. Step 3: Cross multiply
    258,936.75x = 393,811.88 × 393,811.88
  4. Step 4: Simplify right side
    258,936.75x = 155,087,792,891.02
  5. Step 5: Solve for x
    x = 155,087,792,891.02/258,936.75
  6. Step 6: Final answer
    x = 598,940.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.