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Finding the Third Proportional to 394,486 and 640,910.50

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Solution

The third proportional to 394,486 and 640,910.50 is: 1,041,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,486 : 640,910.50 = 640,910.50 : x
  2. Step 2: Convert to fraction form
    394,486/640,910.50 = 640,910.50/x
  3. Step 3: Cross multiply
    394,486x = 640,910.50 × 640,910.50
  4. Step 4: Simplify right side
    394,486x = 410,766,269,010.25
  5. Step 5: Solve for x
    x = 410,766,269,010.25/394,486
  6. Step 6: Final answer
    x = 1,041,269.57

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.