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Finding the Third Proportional to 227,361.94 and 495,089.09

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Solution

The third proportional to 227,361.94 and 495,089.09 is: 1,078,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,361.94 : 495,089.09 = 495,089.09 : x
  2. Step 2: Convert to fraction form
    227,361.94/495,089.09 = 495,089.09/x
  3. Step 3: Cross multiply
    227,361.94x = 495,089.09 × 495,089.09
  4. Step 4: Simplify right side
    227,361.94x = 245,113,203,014.43
  5. Step 5: Solve for x
    x = 245,113,203,014.43/227,361.94
  6. Step 6: Final answer
    x = 1,078,074.92

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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.