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Finding the Third Proportional to 367,065 and 494,005

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Solution

The third proportional to 367,065 and 494,005 is: 664,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065 : 494,005 = 494,005 : x
  2. Step 2: Convert to fraction form
    367,065/494,005 = 494,005/x
  3. Step 3: Cross multiply
    367,065x = 494,005 × 494,005
  4. Step 4: Simplify right side
    367,065x = 244,040,940,025
  5. Step 5: Solve for x
    x = 244,040,940,025/367,065
  6. Step 6: Final answer
    x = 664,843.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.