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Finding the Third Proportional to 226,743.75 and 494,934.75

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Solution

The third proportional to 226,743.75 and 494,934.75 is: 1,080,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,743.75 : 494,934.75 = 494,934.75 : x
  2. Step 2: Convert to fraction form
    226,743.75/494,934.75 = 494,934.75/x
  3. Step 3: Cross multiply
    226,743.75x = 494,934.75 × 494,934.75
  4. Step 4: Simplify right side
    226,743.75x = 244,960,406,757.56
  5. Step 5: Solve for x
    x = 244,960,406,757.56/226,743.75
  6. Step 6: Final answer
    x = 1,080,340.28

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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.