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Finding the Third Proportional to 227,849.91 and 498,589.31

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Solution

The third proportional to 227,849.91 and 498,589.31 is: 1,091,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,849.91 : 498,589.31 = 498,589.31 : x
  2. Step 2: Convert to fraction form
    227,849.91/498,589.31 = 498,589.31/x
  3. Step 3: Cross multiply
    227,849.91x = 498,589.31 × 498,589.31
  4. Step 4: Simplify right side
    227,849.91x = 248,591,302,539.22
  5. Step 5: Solve for x
    x = 248,591,302,539.22/227,849.91
  6. Step 6: Final answer
    x = 1,091,030.96

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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.