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Finding the Third Proportional to 227,839.88 and 498,587.81

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Solution

The third proportional to 227,839.88 and 498,587.81 is: 1,091,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,839.88 : 498,587.81 = 498,587.81 : x
  2. Step 2: Convert to fraction form
    227,839.88/498,587.81 = 498,587.81/x
  3. Step 3: Cross multiply
    227,839.88x = 498,587.81 × 498,587.81
  4. Step 4: Simplify right side
    227,839.88x = 248,589,806,773.54
  5. Step 5: Solve for x
    x = 248,589,806,773.54/227,839.88
  6. Step 6: Final answer
    x = 1,091,072.43

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