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Finding the Third Proportional to 394,596 and 863,016

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Solution

The third proportional to 394,596 and 863,016 is: 1,887,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,596 : 863,016 = 863,016 : x
  2. Step 2: Convert to fraction form
    394,596/863,016 = 863,016/x
  3. Step 3: Cross multiply
    394,596x = 863,016 × 863,016
  4. Step 4: Simplify right side
    394,596x = 744,796,616,256
  5. Step 5: Solve for x
    x = 744,796,616,256/394,596
  6. Step 6: Final answer
    x = 1,887,491.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.