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Finding the Third Proportional to 394,826 and 627,951

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Solution

The third proportional to 394,826 and 627,951 is: 998,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,826 : 627,951 = 627,951 : x
  2. Step 2: Convert to fraction form
    394,826/627,951 = 627,951/x
  3. Step 3: Cross multiply
    394,826x = 627,951 × 627,951
  4. Step 4: Simplify right side
    394,826x = 394,322,458,401
  5. Step 5: Solve for x
    x = 394,322,458,401/394,826
  6. Step 6: Final answer
    x = 998,724.65

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Why These Related Problems?

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