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Finding the Third Proportional to 374.82 and 773.85

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Solution

The third proportional to 374.82 and 773.85 is: 1,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.82 : 773.85 = 773.85 : x
  2. Step 2: Convert to fraction form
    374.82/773.85 = 773.85/x
  3. Step 3: Cross multiply
    374.82x = 773.85 × 773.85
  4. Step 4: Simplify right side
    374.82x = 598,844.73
  5. Step 5: Solve for x
    x = 598,844.73/374.82
  6. Step 6: Final answer
    x = 1,597.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.