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Finding the Third Proportional to 394,876.50 and 852,796.50

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Solution

The third proportional to 394,876.50 and 852,796.50 is: 1,841,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,876.50 : 852,796.50 = 852,796.50 : x
  2. Step 2: Convert to fraction form
    394,876.50/852,796.50 = 852,796.50/x
  3. Step 3: Cross multiply
    394,876.50x = 852,796.50 × 852,796.50
  4. Step 4: Simplify right side
    394,876.50x = 727,261,870,412.25
  5. Step 5: Solve for x
    x = 727,261,870,412.25/394,876.50
  6. Step 6: Final answer
    x = 1,841,745.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.