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Finding the Third Proportional to 361.65 and 593.74

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Solution

The third proportional to 361.65 and 593.74 is: 974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 593.74 = 593.74 : x
  2. Step 2: Convert to fraction form
    361.65/593.74 = 593.74/x
  3. Step 3: Cross multiply
    361.65x = 593.74 × 593.74
  4. Step 4: Simplify right side
    361.65x = 352,522.83
  5. Step 5: Solve for x
    x = 352,522.83/361.65
  6. Step 6: Final answer
    x = 974.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.