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Finding the Third Proportional to 226,727.44 and 494,278.88

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Solution

The third proportional to 226,727.44 and 494,278.88 is: 1,077,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,727.44 : 494,278.88 = 494,278.88 : x
  2. Step 2: Convert to fraction form
    226,727.44/494,278.88 = 494,278.88/x
  3. Step 3: Cross multiply
    226,727.44x = 494,278.88 × 494,278.88
  4. Step 4: Simplify right side
    226,727.44x = 244,311,606,271.27
  5. Step 5: Solve for x
    x = 244,311,606,271.27/226,727.44
  6. Step 6: Final answer
    x = 1,077,556.42

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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.