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Finding the Third Proportional to 381,007.50 and 839,766

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Solution

The third proportional to 381,007.50 and 839,766 is: 1,850,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,007.50 : 839,766 = 839,766 : x
  2. Step 2: Convert to fraction form
    381,007.50/839,766 = 839,766/x
  3. Step 3: Cross multiply
    381,007.50x = 839,766 × 839,766
  4. Step 4: Simplify right side
    381,007.50x = 705,206,934,756
  5. Step 5: Solve for x
    x = 705,206,934,756/381,007.50
  6. Step 6: Final answer
    x = 1,850,900.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.