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Finding the Third Proportional to 771.75 and 843.75

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Solution

The third proportional to 771.75 and 843.75 is: 922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 843.75 = 843.75 : x
  2. Step 2: Convert to fraction form
    771.75/843.75 = 843.75/x
  3. Step 3: Cross multiply
    771.75x = 843.75 × 843.75
  4. Step 4: Simplify right side
    771.75x = 711,914.06
  5. Step 5: Solve for x
    x = 711,914.06/771.75
  6. Step 6: Final answer
    x = 922.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.