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Finding the Third Proportional to 229,781.25 and 498,791.25

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Solution

The third proportional to 229,781.25 and 498,791.25 is: 1,082,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,781.25 : 498,791.25 = 498,791.25 : x
  2. Step 2: Convert to fraction form
    229,781.25/498,791.25 = 498,791.25/x
  3. Step 3: Cross multiply
    229,781.25x = 498,791.25 × 498,791.25
  4. Step 4: Simplify right side
    229,781.25x = 248,792,711,076.56
  5. Step 5: Solve for x
    x = 248,792,711,076.56/229,781.25
  6. Step 6: Final answer
    x = 1,082,737.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.