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Finding the Third Proportional to 361.13 and 584.81

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Solution

The third proportional to 361.13 and 584.81 is: 947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 584.81 = 584.81 : x
  2. Step 2: Convert to fraction form
    361.13/584.81 = 584.81/x
  3. Step 3: Cross multiply
    361.13x = 584.81 × 584.81
  4. Step 4: Simplify right side
    361.13x = 342,005.66
  5. Step 5: Solve for x
    x = 342,005.66/361.13
  6. Step 6: Final answer
    x = 947.06

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.