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Finding the Third Proportional to 361.13 and 729.63

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Solution

The third proportional to 361.13 and 729.63 is: 1,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 729.63 = 729.63 : x
  2. Step 2: Convert to fraction form
    361.13/729.63 = 729.63/x
  3. Step 3: Cross multiply
    361.13x = 729.63 × 729.63
  4. Step 4: Simplify right side
    361.13x = 532,364.04
  5. Step 5: Solve for x
    x = 532,364.04/361.13
  6. Step 6: Final answer
    x = 1,474.18

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.