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Finding the Third Proportional to 227,749.27 and 498,401.53

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Solution

The third proportional to 227,749.27 and 498,401.53 is: 1,090,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,749.27 : 498,401.53 = 498,401.53 : x
  2. Step 2: Convert to fraction form
    227,749.27/498,401.53 = 498,401.53/x
  3. Step 3: Cross multiply
    227,749.27x = 498,401.53 × 498,401.53
  4. Step 4: Simplify right side
    227,749.27x = 248,404,086,352.35
  5. Step 5: Solve for x
    x = 248,404,086,352.35/227,749.27
  6. Step 6: Final answer
    x = 1,090,691.05

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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.