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Finding the Third Proportional to 394,825 and 627,949.50

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Solution

The third proportional to 394,825 and 627,949.50 is: 998,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,825 : 627,949.50 = 627,949.50 : x
  2. Step 2: Convert to fraction form
    394,825/627,949.50 = 627,949.50/x
  3. Step 3: Cross multiply
    394,825x = 627,949.50 × 627,949.50
  4. Step 4: Simplify right side
    394,825x = 394,320,574,550.25
  5. Step 5: Solve for x
    x = 394,320,574,550.25/394,825
  6. Step 6: Final answer
    x = 998,722.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.