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Finding the Third Proportional to 494,163.75 and 1,082,883.75

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Solution

The third proportional to 494,163.75 and 1,082,883.75 is: 2,372,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,163.75 : 1,082,883.75 = 1,082,883.75 : x
  2. Step 2: Convert to fraction form
    494,163.75/1,082,883.75 = 1,082,883.75/x
  3. Step 3: Cross multiply
    494,163.75x = 1,082,883.75 × 1,082,883.75
  4. Step 4: Simplify right side
    494,163.75x = 1,172,637,216,014.06
  5. Step 5: Solve for x
    x = 1,172,637,216,014.06/494,163.75
  6. Step 6: Final answer
    x = 2,372,972.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.