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Finding the Third Proportional to 227,270.25 and 494,331.75

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Solution

The third proportional to 227,270.25 and 494,331.75 is: 1,075,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,270.25 : 494,331.75 = 494,331.75 : x
  2. Step 2: Convert to fraction form
    227,270.25/494,331.75 = 494,331.75/x
  3. Step 3: Cross multiply
    227,270.25x = 494,331.75 × 494,331.75
  4. Step 4: Simplify right side
    227,270.25x = 244,363,879,058.06
  5. Step 5: Solve for x
    x = 244,363,879,058.06/227,270.25
  6. Step 6: Final answer
    x = 1,075,212.79

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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.