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Finding the Third Proportional to 397,640.25 and 818,608.50

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Solution

The third proportional to 397,640.25 and 818,608.50 is: 1,685,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,640.25 : 818,608.50 = 818,608.50 : x
  2. Step 2: Convert to fraction form
    397,640.25/818,608.50 = 818,608.50/x
  3. Step 3: Cross multiply
    397,640.25x = 818,608.50 × 818,608.50
  4. Step 4: Simplify right side
    397,640.25x = 670,119,876,272.25
  5. Step 5: Solve for x
    x = 670,119,876,272.25/397,640.25
  6. Step 6: Final answer
    x = 1,685,241.56

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.