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Finding the Third Proportional to 293.91 and 696.23

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Solution

The third proportional to 293.91 and 696.23 is: 1,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 696.23 = 696.23 : x
  2. Step 2: Convert to fraction form
    293.91/696.23 = 696.23/x
  3. Step 3: Cross multiply
    293.91x = 696.23 × 696.23
  4. Step 4: Simplify right side
    293.91x = 484,742.30
  5. Step 5: Solve for x
    x = 484,742.30/293.91
  6. Step 6: Final answer
    x = 1,649.31

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.