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Finding the Third Proportional to 306.07 and 596.74

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Solution

The third proportional to 306.07 and 596.74 is: 1,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.07 : 596.74 = 596.74 : x
  2. Step 2: Convert to fraction form
    306.07/596.74 = 596.74/x
  3. Step 3: Cross multiply
    306.07x = 596.74 × 596.74
  4. Step 4: Simplify right side
    306.07x = 356,101.24
  5. Step 5: Solve for x
    x = 356,101.24/306.07
  6. Step 6: Final answer
    x = 1,163.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.