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Finding the Third Proportional to 513.69 and 1,027.38

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Solution

The third proportional to 513.69 and 1,027.38 is: 2,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 1,027.38 = 1,027.38 : x
  2. Step 2: Convert to fraction form
    513.69/1,027.38 = 1,027.38/x
  3. Step 3: Cross multiply
    513.69x = 1,027.38 × 1,027.38
  4. Step 4: Simplify right side
    513.69x = 1,055,499.39
  5. Step 5: Solve for x
    x = 1,055,499.39/513.69
  6. Step 6: Final answer
    x = 2,054.75

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.