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Finding the Third Proportional to 324,816.75 and 670,228.88

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Solution

The third proportional to 324,816.75 and 670,228.88 is: 1,382,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,816.75 : 670,228.88 = 670,228.88 : x
  2. Step 2: Convert to fraction form
    324,816.75/670,228.88 = 670,228.88/x
  3. Step 3: Cross multiply
    324,816.75x = 670,228.88 × 670,228.88
  4. Step 4: Simplify right side
    324,816.75x = 449,206,744,883.77
  5. Step 5: Solve for x
    x = 449,206,744,883.77/324,816.75
  6. Step 6: Final answer
    x = 1,382,954.37

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.