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Finding the Third Proportional to 361.25 and 770.38

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Solution

The third proportional to 361.25 and 770.38 is: 1,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.25 : 770.38 = 770.38 : x
  2. Step 2: Convert to fraction form
    361.25/770.38 = 770.38/x
  3. Step 3: Cross multiply
    361.25x = 770.38 × 770.38
  4. Step 4: Simplify right side
    361.25x = 593,477.64
  5. Step 5: Solve for x
    x = 593,477.64/361.25
  6. Step 6: Final answer
    x = 1,642.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.