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Finding the Third Proportional to 350.26 and 525.39

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Solution

The third proportional to 350.26 and 525.39 is: 788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 525.39 = 525.39 : x
  2. Step 2: Convert to fraction form
    350.26/525.39 = 525.39/x
  3. Step 3: Cross multiply
    350.26x = 525.39 × 525.39
  4. Step 4: Simplify right side
    350.26x = 276,037.36
  5. Step 5: Solve for x
    x = 276,037.36/350.26
  6. Step 6: Final answer
    x = 788.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.