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Finding the Third Proportional to 327,726.75 and 498,431.25

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Solution

The third proportional to 327,726.75 and 498,431.25 is: 758,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,726.75 : 498,431.25 = 498,431.25 : x
  2. Step 2: Convert to fraction form
    327,726.75/498,431.25 = 498,431.25/x
  3. Step 3: Cross multiply
    327,726.75x = 498,431.25 × 498,431.25
  4. Step 4: Simplify right side
    327,726.75x = 248,433,710,976.56
  5. Step 5: Solve for x
    x = 248,433,710,976.56/327,726.75
  6. Step 6: Final answer
    x = 758,051.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.