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Finding the Third Proportional to 350.88 and 531.94

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Solution

The third proportional to 350.88 and 531.94 is: 806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.88 : 531.94 = 531.94 : x
  2. Step 2: Convert to fraction form
    350.88/531.94 = 531.94/x
  3. Step 3: Cross multiply
    350.88x = 531.94 × 531.94
  4. Step 4: Simplify right side
    350.88x = 282,957.50
  5. Step 5: Solve for x
    x = 282,957.50/350.88
  6. Step 6: Final answer
    x = 806.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.