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Finding the Third Proportional to 324,997.31 and 431,340.19

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Solution

The third proportional to 324,997.31 and 431,340.19 is: 572,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,997.31 : 431,340.19 = 431,340.19 : x
  2. Step 2: Convert to fraction form
    324,997.31/431,340.19 = 431,340.19/x
  3. Step 3: Cross multiply
    324,997.31x = 431,340.19 × 431,340.19
  4. Step 4: Simplify right side
    324,997.31x = 186,054,357,352.54
  5. Step 5: Solve for x
    x = 186,054,357,352.54/324,997.31
  6. Step 6: Final answer
    x = 572,479.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.