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Finding the Third Proportional to 394,645.50 and 868,023

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Solution

The third proportional to 394,645.50 and 868,023 is: 1,909,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,645.50 : 868,023 = 868,023 : x
  2. Step 2: Convert to fraction form
    394,645.50/868,023 = 868,023/x
  3. Step 3: Cross multiply
    394,645.50x = 868,023 × 868,023
  4. Step 4: Simplify right side
    394,645.50x = 753,463,928,529
  5. Step 5: Solve for x
    x = 753,463,928,529/394,645.50
  6. Step 6: Final answer
    x = 1,909,217.08

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