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Finding the Third Proportional to 350.91 and 537.09

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Solution

The third proportional to 350.91 and 537.09 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.91 : 537.09 = 537.09 : x
  2. Step 2: Convert to fraction form
    350.91/537.09 = 537.09/x
  3. Step 3: Cross multiply
    350.91x = 537.09 × 537.09
  4. Step 4: Simplify right side
    350.91x = 288,469.70
  5. Step 5: Solve for x
    x = 288,469.70/350.91
  6. Step 6: Final answer
    x = 822.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.