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Finding the Third Proportional to 511.31 and 1,175.77

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Solution

The third proportional to 511.31 and 1,175.77 is: 2,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 1,175.77 = 1,175.77 : x
  2. Step 2: Convert to fraction form
    511.31/1,175.77 = 1,175.77/x
  3. Step 3: Cross multiply
    511.31x = 1,175.77 × 1,175.77
  4. Step 4: Simplify right side
    511.31x = 1,382,424.80
  5. Step 5: Solve for x
    x = 1,382,424.80/511.31
  6. Step 6: Final answer
    x = 2,703.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.