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Finding the Third Proportional to 228,446.81 and 495,029.44

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Solution

The third proportional to 228,446.81 and 495,029.44 is: 1,072,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,446.81 : 495,029.44 = 495,029.44 : x
  2. Step 2: Convert to fraction form
    228,446.81/495,029.44 = 495,029.44/x
  3. Step 3: Cross multiply
    228,446.81x = 495,029.44 × 495,029.44
  4. Step 4: Simplify right side
    228,446.81x = 245,054,143,991.57
  5. Step 5: Solve for x
    x = 245,054,143,991.57/228,446.81
  6. Step 6: Final answer
    x = 1,072,696.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.