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Finding the Third Proportional to 367,063 and 494,002

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Solution

The third proportional to 367,063 and 494,002 is: 664,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,063 : 494,002 = 494,002 : x
  2. Step 2: Convert to fraction form
    367,063/494,002 = 494,002/x
  3. Step 3: Cross multiply
    367,063x = 494,002 × 494,002
  4. Step 4: Simplify right side
    367,063x = 244,037,976,004
  5. Step 5: Solve for x
    x = 244,037,976,004/367,063
  6. Step 6: Final answer
    x = 664,839.49

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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.