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Finding the Third Proportional to 378,375 and 816,481.50

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Solution

The third proportional to 378,375 and 816,481.50 is: 1,761,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,375 : 816,481.50 = 816,481.50 : x
  2. Step 2: Convert to fraction form
    378,375/816,481.50 = 816,481.50/x
  3. Step 3: Cross multiply
    378,375x = 816,481.50 × 816,481.50
  4. Step 4: Simplify right side
    378,375x = 666,642,039,842.25
  5. Step 5: Solve for x
    x = 666,642,039,842.25/378,375
  6. Step 6: Final answer
    x = 1,761,855.41

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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.