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Finding the Third Proportional to 227,799 and 500,238

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Solution

The third proportional to 227,799 and 500,238 is: 1,098,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,799 : 500,238 = 500,238 : x
  2. Step 2: Convert to fraction form
    227,799/500,238 = 500,238/x
  3. Step 3: Cross multiply
    227,799x = 500,238 × 500,238
  4. Step 4: Simplify right side
    227,799x = 250,238,056,644
  5. Step 5: Solve for x
    x = 250,238,056,644/227,799
  6. Step 6: Final answer
    x = 1,098,503.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.