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Finding the Third Proportional to 375.94 and 816.84

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Solution

The third proportional to 375.94 and 816.84 is: 1,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 816.84 = 816.84 : x
  2. Step 2: Convert to fraction form
    375.94/816.84 = 816.84/x
  3. Step 3: Cross multiply
    375.94x = 816.84 × 816.84
  4. Step 4: Simplify right side
    375.94x = 667,233.71
  5. Step 5: Solve for x
    x = 667,233.71/375.94
  6. Step 6: Final answer
    x = 1,774.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.