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Finding the Third Proportional to 361.03 and 573.84

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Solution

The third proportional to 361.03 and 573.84 is: 912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.03 : 573.84 = 573.84 : x
  2. Step 2: Convert to fraction form
    361.03/573.84 = 573.84/x
  3. Step 3: Cross multiply
    361.03x = 573.84 × 573.84
  4. Step 4: Simplify right side
    361.03x = 329,296.65
  5. Step 5: Solve for x
    x = 329,296.65/361.03
  6. Step 6: Final answer
    x = 912.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.