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Finding the Third Proportional to 382,115.25 and 809,745.75

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Solution

The third proportional to 382,115.25 and 809,745.75 is: 1,715,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,115.25 : 809,745.75 = 809,745.75 : x
  2. Step 2: Convert to fraction form
    382,115.25/809,745.75 = 809,745.75/x
  3. Step 3: Cross multiply
    382,115.25x = 809,745.75 × 809,745.75
  4. Step 4: Simplify right side
    382,115.25x = 655,688,179,643.06
  5. Step 5: Solve for x
    x = 655,688,179,643.06/382,115.25
  6. Step 6: Final answer
    x = 1,715,943.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.