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Finding the Third Proportional to 324,006.75 and 444,953.25

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Solution

The third proportional to 324,006.75 and 444,953.25 is: 611,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,006.75 : 444,953.25 = 444,953.25 : x
  2. Step 2: Convert to fraction form
    324,006.75/444,953.25 = 444,953.25/x
  3. Step 3: Cross multiply
    324,006.75x = 444,953.25 × 444,953.25
  4. Step 4: Simplify right side
    324,006.75x = 197,983,394,685.56
  5. Step 5: Solve for x
    x = 197,983,394,685.56/324,006.75
  6. Step 6: Final answer
    x = 611,047.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.