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Finding the Third Proportional to 227,881.88 and 496,767.38

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Solution

The third proportional to 227,881.88 and 496,767.38 is: 1,082,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,881.88 : 496,767.38 = 496,767.38 : x
  2. Step 2: Convert to fraction form
    227,881.88/496,767.38 = 496,767.38/x
  3. Step 3: Cross multiply
    227,881.88x = 496,767.38 × 496,767.38
  4. Step 4: Simplify right side
    227,881.88x = 246,777,824,864.39
  5. Step 5: Solve for x
    x = 246,777,824,864.39/227,881.88
  6. Step 6: Final answer
    x = 1,082,919.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.