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Finding the Third Proportional to 324,396 and 696,744

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Solution

The third proportional to 324,396 and 696,744 is: 1,496,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,396 : 696,744 = 696,744 : x
  2. Step 2: Convert to fraction form
    324,396/696,744 = 696,744/x
  3. Step 3: Cross multiply
    324,396x = 696,744 × 696,744
  4. Step 4: Simplify right side
    324,396x = 485,452,201,536
  5. Step 5: Solve for x
    x = 485,452,201,536/324,396
  6. Step 6: Final answer
    x = 1,496,480.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.