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Finding the Third Proportional to 227,121.75 and 477,757.13

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Solution

The third proportional to 227,121.75 and 477,757.13 is: 1,004,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,121.75 : 477,757.13 = 477,757.13 : x
  2. Step 2: Convert to fraction form
    227,121.75/477,757.13 = 477,757.13/x
  3. Step 3: Cross multiply
    227,121.75x = 477,757.13 × 477,757.13
  4. Step 4: Simplify right side
    227,121.75x = 228,251,870,488.27
  5. Step 5: Solve for x
    x = 228,251,870,488.27/227,121.75
  6. Step 6: Final answer
    x = 1,004,975.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.