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Finding the Third Proportional to 324.56 and 704.53

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Solution

The third proportional to 324.56 and 704.53 is: 1,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 704.53 = 704.53 : x
  2. Step 2: Convert to fraction form
    324.56/704.53 = 704.53/x
  3. Step 3: Cross multiply
    324.56x = 704.53 × 704.53
  4. Step 4: Simplify right side
    324.56x = 496,364.28
  5. Step 5: Solve for x
    x = 496,364.28/324.56
  6. Step 6: Final answer
    x = 1,529.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.