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Finding the Third Proportional to 512.06 and 794.06

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Solution

The third proportional to 512.06 and 794.06 is: 1,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 794.06 = 794.06 : x
  2. Step 2: Convert to fraction form
    512.06/794.06 = 794.06/x
  3. Step 3: Cross multiply
    512.06x = 794.06 × 794.06
  4. Step 4: Simplify right side
    512.06x = 630,535.25
  5. Step 5: Solve for x
    x = 630,535.25/512.06
  6. Step 6: Final answer
    x = 1,231.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.