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Finding the Third Proportional to 378,772.50 and 810,744

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Solution

The third proportional to 378,772.50 and 810,744 is: 1,735,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,772.50 : 810,744 = 810,744 : x
  2. Step 2: Convert to fraction form
    378,772.50/810,744 = 810,744/x
  3. Step 3: Cross multiply
    378,772.50x = 810,744 × 810,744
  4. Step 4: Simplify right side
    378,772.50x = 657,305,833,536
  5. Step 5: Solve for x
    x = 657,305,833,536/378,772.50
  6. Step 6: Final answer
    x = 1,735,357.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.