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Finding the Third Proportional to 381,976.50 and 809,487

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Solution

The third proportional to 381,976.50 and 809,487 is: 1,715,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976.50 : 809,487 = 809,487 : x
  2. Step 2: Convert to fraction form
    381,976.50/809,487 = 809,487/x
  3. Step 3: Cross multiply
    381,976.50x = 809,487 × 809,487
  4. Step 4: Simplify right side
    381,976.50x = 655,269,203,169
  5. Step 5: Solve for x
    x = 655,269,203,169/381,976.50
  6. Step 6: Final answer
    x = 1,715,469.94

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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.