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Finding the Third Proportional to 394,168 and 864,637

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Solution

The third proportional to 394,168 and 864,637 is: 1,896,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,168 : 864,637 = 864,637 : x
  2. Step 2: Convert to fraction form
    394,168/864,637 = 864,637/x
  3. Step 3: Cross multiply
    394,168x = 864,637 × 864,637
  4. Step 4: Simplify right side
    394,168x = 747,597,141,769
  5. Step 5: Solve for x
    x = 747,597,141,769/394,168
  6. Step 6: Final answer
    x = 1,896,645.95

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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.