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Finding the Third Proportional to 324,914 and 675,828

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Solution

The third proportional to 324,914 and 675,828 is: 1,405,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,914 : 675,828 = 675,828 : x
  2. Step 2: Convert to fraction form
    324,914/675,828 = 675,828/x
  3. Step 3: Cross multiply
    324,914x = 675,828 × 675,828
  4. Step 4: Simplify right side
    324,914x = 456,743,485,584
  5. Step 5: Solve for x
    x = 456,743,485,584/324,914
  6. Step 6: Final answer
    x = 1,405,736.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.