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Finding the Third Proportional to 361.06 and 786.88

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Solution

The third proportional to 361.06 and 786.88 is: 1,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.06 : 786.88 = 786.88 : x
  2. Step 2: Convert to fraction form
    361.06/786.88 = 786.88/x
  3. Step 3: Cross multiply
    361.06x = 786.88 × 786.88
  4. Step 4: Simplify right side
    361.06x = 619,172.27
  5. Step 5: Solve for x
    x = 619,172.27/361.06
  6. Step 6: Final answer
    x = 1,714.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.