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Finding the Third Proportional to 226,729.13 and 494,282.25

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Solution

The third proportional to 226,729.13 and 494,282.25 is: 1,077,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,729.13 : 494,282.25 = 494,282.25 : x
  2. Step 2: Convert to fraction form
    226,729.13/494,282.25 = 494,282.25/x
  3. Step 3: Cross multiply
    226,729.13x = 494,282.25 × 494,282.25
  4. Step 4: Simplify right side
    226,729.13x = 244,314,942,665.06
  5. Step 5: Solve for x
    x = 244,314,942,665.06/226,729.13
  6. Step 6: Final answer
    x = 1,077,563.12

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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.