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Finding the Third Proportional to 381,080.50 and 560,217.75

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Solution

The third proportional to 381,080.50 and 560,217.75 is: 823,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080.50 : 560,217.75 = 560,217.75 : x
  2. Step 2: Convert to fraction form
    381,080.50/560,217.75 = 560,217.75/x
  3. Step 3: Cross multiply
    381,080.50x = 560,217.75 × 560,217.75
  4. Step 4: Simplify right side
    381,080.50x = 313,843,927,415.06
  5. Step 5: Solve for x
    x = 313,843,927,415.06/381,080.50
  6. Step 6: Final answer
    x = 823,563.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.