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Finding the Third Proportional to 381,896.44 and 795,170.25

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Solution

The third proportional to 381,896.44 and 795,170.25 is: 1,655,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.44 : 795,170.25 = 795,170.25 : x
  2. Step 2: Convert to fraction form
    381,896.44/795,170.25 = 795,170.25/x
  3. Step 3: Cross multiply
    381,896.44x = 795,170.25 × 795,170.25
  4. Step 4: Simplify right side
    381,896.44x = 632,295,726,485.06
  5. Step 5: Solve for x
    x = 632,295,726,485.06/381,896.44
  6. Step 6: Final answer
    x = 1,655,673.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.