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Finding the Third Proportional to 312,801.75 and 682,943.91

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Solution

The third proportional to 312,801.75 and 682,943.91 is: 1,491,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,801.75 : 682,943.91 = 682,943.91 : x
  2. Step 2: Convert to fraction form
    312,801.75/682,943.91 = 682,943.91/x
  3. Step 3: Cross multiply
    312,801.75x = 682,943.91 × 682,943.91
  4. Step 4: Simplify right side
    312,801.75x = 466,412,379,084.01
  5. Step 5: Solve for x
    x = 466,412,379,084.01/312,801.75
  6. Step 6: Final answer
    x = 1,491,079.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.