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Finding the Third Proportional to 228,003.75 and 494,949

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Solution

The third proportional to 228,003.75 and 494,949 is: 1,074,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,003.75 : 494,949 = 494,949 : x
  2. Step 2: Convert to fraction form
    228,003.75/494,949 = 494,949/x
  3. Step 3: Cross multiply
    228,003.75x = 494,949 × 494,949
  4. Step 4: Simplify right side
    228,003.75x = 244,974,512,601
  5. Step 5: Solve for x
    x = 244,974,512,601/228,003.75
  6. Step 6: Final answer
    x = 1,074,431.95

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Why These Related Problems?

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