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Finding the Third Proportional to 324.42 and 696.52

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Solution

The third proportional to 324.42 and 696.52 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 696.52 = 696.52 : x
  2. Step 2: Convert to fraction form
    324.42/696.52 = 696.52/x
  3. Step 3: Cross multiply
    324.42x = 696.52 × 696.52
  4. Step 4: Simplify right side
    324.42x = 485,134.02
  5. Step 5: Solve for x
    x = 485,134.02/324.42
  6. Step 6: Final answer
    x = 1,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.