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Finding the Third Proportional to 227,936 and 496,000

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Solution

The third proportional to 227,936 and 496,000 is: 1,079,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,936 : 496,000 = 496,000 : x
  2. Step 2: Convert to fraction form
    227,936/496,000 = 496,000/x
  3. Step 3: Cross multiply
    227,936x = 496,000 × 496,000
  4. Step 4: Simplify right side
    227,936x = 246,016,000,000
  5. Step 5: Solve for x
    x = 246,016,000,000/227,936
  6. Step 6: Final answer
    x = 1,079,320.51

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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.