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Finding the Third Proportional to 327,118.22 and 493,786.97

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Solution

The third proportional to 327,118.22 and 493,786.97 is: 745,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,118.22 : 493,786.97 = 493,786.97 : x
  2. Step 2: Convert to fraction form
    327,118.22/493,786.97 = 493,786.97/x
  3. Step 3: Cross multiply
    327,118.22x = 493,786.97 × 493,786.97
  4. Step 4: Simplify right side
    327,118.22x = 243,825,570,507.31
  5. Step 5: Solve for x
    x = 243,825,570,507.31/327,118.22
  6. Step 6: Final answer
    x = 745,374.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.