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Finding the Third Proportional to 286.98 and 640.88

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Solution

The third proportional to 286.98 and 640.88 is: 1,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 640.88 = 640.88 : x
  2. Step 2: Convert to fraction form
    286.98/640.88 = 640.88/x
  3. Step 3: Cross multiply
    286.98x = 640.88 × 640.88
  4. Step 4: Simplify right side
    286.98x = 410,728.28
  5. Step 5: Solve for x
    x = 410,728.28/286.98
  6. Step 6: Final answer
    x = 1,431.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.