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Finding the Third Proportional to 350.26 and 765.31

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Solution

The third proportional to 350.26 and 765.31 is: 1,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 765.31 = 765.31 : x
  2. Step 2: Convert to fraction form
    350.26/765.31 = 765.31/x
  3. Step 3: Cross multiply
    350.26x = 765.31 × 765.31
  4. Step 4: Simplify right side
    350.26x = 585,695.75
  5. Step 5: Solve for x
    x = 585,695.75/350.26
  6. Step 6: Final answer
    x = 1,672.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.