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Finding the Third Proportional to 394,824 and 868,356

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Solution

The third proportional to 394,824 and 868,356 is: 1,909,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,824 : 868,356 = 868,356 : x
  2. Step 2: Convert to fraction form
    394,824/868,356 = 868,356/x
  3. Step 3: Cross multiply
    394,824x = 868,356 × 868,356
  4. Step 4: Simplify right side
    394,824x = 754,042,142,736
  5. Step 5: Solve for x
    x = 754,042,142,736/394,824
  6. Step 6: Final answer
    x = 1,909,818.41

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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.