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Finding the Third Proportional to 394,723 and 868,178

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Solution

The third proportional to 394,723 and 868,178 is: 1,909,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,723 : 868,178 = 868,178 : x
  2. Step 2: Convert to fraction form
    394,723/868,178 = 868,178/x
  3. Step 3: Cross multiply
    394,723x = 868,178 × 868,178
  4. Step 4: Simplify right side
    394,723x = 753,733,039,684
  5. Step 5: Solve for x
    x = 753,733,039,684/394,723
  6. Step 6: Final answer
    x = 1,909,523.99

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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.