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Finding the Third Proportional to 394,830 and 627,957

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Solution

The third proportional to 394,830 and 627,957 is: 998,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,830 : 627,957 = 627,957 : x
  2. Step 2: Convert to fraction form
    394,830/627,957 = 627,957/x
  3. Step 3: Cross multiply
    394,830x = 627,957 × 627,957
  4. Step 4: Simplify right side
    394,830x = 394,329,993,849
  5. Step 5: Solve for x
    x = 394,329,993,849/394,830
  6. Step 6: Final answer
    x = 998,733.62

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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.