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Finding the Third Proportional to 777.75 and 843.38

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Solution

The third proportional to 777.75 and 843.38 is: 914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.75 : 843.38 = 843.38 : x
  2. Step 2: Convert to fraction form
    777.75/843.38 = 843.38/x
  3. Step 3: Cross multiply
    777.75x = 843.38 × 843.38
  4. Step 4: Simplify right side
    777.75x = 711,281.39
  5. Step 5: Solve for x
    x = 711,281.39/777.75
  6. Step 6: Final answer
    x = 914.54

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.