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Finding the Third Proportional to 383.44 and 822.56

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Solution

The third proportional to 383.44 and 822.56 is: 1,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.44 : 822.56 = 822.56 : x
  2. Step 2: Convert to fraction form
    383.44/822.56 = 822.56/x
  3. Step 3: Cross multiply
    383.44x = 822.56 × 822.56
  4. Step 4: Simplify right side
    383.44x = 676,609.07
  5. Step 5: Solve for x
    x = 676,609.07/383.44
  6. Step 6: Final answer
    x = 1,764.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.