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Finding the Third Proportional to 227,839.50 and 498,589.50

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Solution

The third proportional to 227,839.50 and 498,589.50 is: 1,091,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,839.50 : 498,589.50 = 498,589.50 : x
  2. Step 2: Convert to fraction form
    227,839.50/498,589.50 = 498,589.50/x
  3. Step 3: Cross multiply
    227,839.50x = 498,589.50 × 498,589.50
  4. Step 4: Simplify right side
    227,839.50x = 248,591,489,510.25
  5. Step 5: Solve for x
    x = 248,591,489,510.25/227,839.50
  6. Step 6: Final answer
    x = 1,091,081.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.