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Finding the Third Proportional to 378,239.25 and 819,517.50

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Solution

The third proportional to 378,239.25 and 819,517.50 is: 1,775,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,239.25 : 819,517.50 = 819,517.50 : x
  2. Step 2: Convert to fraction form
    378,239.25/819,517.50 = 819,517.50/x
  3. Step 3: Cross multiply
    378,239.25x = 819,517.50 × 819,517.50
  4. Step 4: Simplify right side
    378,239.25x = 671,608,932,806.25
  5. Step 5: Solve for x
    x = 671,608,932,806.25/378,239.25
  6. Step 6: Final answer
    x = 1,775,619.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.