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Finding the Third Proportional to 513.50 and 1,020.25

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Solution

The third proportional to 513.50 and 1,020.25 is: 2,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 1,020.25 = 1,020.25 : x
  2. Step 2: Convert to fraction form
    513.50/1,020.25 = 1,020.25/x
  3. Step 3: Cross multiply
    513.50x = 1,020.25 × 1,020.25
  4. Step 4: Simplify right side
    513.50x = 1,040,910.06
  5. Step 5: Solve for x
    x = 1,040,910.06/513.50
  6. Step 6: Final answer
    x = 2,027.09

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.