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Finding the Third Proportional to 227,951.44 and 496,040.06

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Solution

The third proportional to 227,951.44 and 496,040.06 is: 1,079,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,951.44 : 496,040.06 = 496,040.06 : x
  2. Step 2: Convert to fraction form
    227,951.44/496,040.06 = 496,040.06/x
  3. Step 3: Cross multiply
    227,951.44x = 496,040.06 × 496,040.06
  4. Step 4: Simplify right side
    227,951.44x = 246,055,743,605.00
  5. Step 5: Solve for x
    x = 246,055,743,605.00/227,951.44
  6. Step 6: Final answer
    x = 1,079,421.77

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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.