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Finding the Third Proportional to 227,391.05 and 378,954.07

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Solution

The third proportional to 227,391.05 and 378,954.07 is: 631,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,391.05 : 378,954.07 = 378,954.07 : x
  2. Step 2: Convert to fraction form
    227,391.05/378,954.07 = 378,954.07/x
  3. Step 3: Cross multiply
    227,391.05x = 378,954.07 × 378,954.07
  4. Step 4: Simplify right side
    227,391.05x = 143,606,187,406.41
  5. Step 5: Solve for x
    x = 143,606,187,406.41/227,391.05
  6. Step 6: Final answer
    x = 631,538.44

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.