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Finding the Third Proportional to 361.47 and 704.94

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Solution

The third proportional to 361.47 and 704.94 is: 1,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.47 : 704.94 = 704.94 : x
  2. Step 2: Convert to fraction form
    361.47/704.94 = 704.94/x
  3. Step 3: Cross multiply
    361.47x = 704.94 × 704.94
  4. Step 4: Simplify right side
    361.47x = 496,936.88
  5. Step 5: Solve for x
    x = 496,936.88/361.47
  6. Step 6: Final answer
    x = 1,374.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.