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Finding the Third Proportional to 394,796 and 868,324

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Solution

The third proportional to 394,796 and 868,324 is: 1,909,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,796 : 868,324 = 868,324 : x
  2. Step 2: Convert to fraction form
    394,796/868,324 = 868,324/x
  3. Step 3: Cross multiply
    394,796x = 868,324 × 868,324
  4. Step 4: Simplify right side
    394,796x = 753,986,568,976
  5. Step 5: Solve for x
    x = 753,986,568,976/394,796
  6. Step 6: Final answer
    x = 1,909,813.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.