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Finding the Third Proportional to 227,935.97 and 496,007.16

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Solution

The third proportional to 227,935.97 and 496,007.16 is: 1,079,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,935.97 : 496,007.16 = 496,007.16 : x
  2. Step 2: Convert to fraction form
    227,935.97/496,007.16 = 496,007.16/x
  3. Step 3: Cross multiply
    227,935.97x = 496,007.16 × 496,007.16
  4. Step 4: Simplify right side
    227,935.97x = 246,023,099,051.21
  5. Step 5: Solve for x
    x = 246,023,099,051.21/227,935.97
  6. Step 6: Final answer
    x = 1,079,351.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.