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Finding the Third Proportional to 367.38 and 772.63

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Solution

The third proportional to 367.38 and 772.63 is: 1,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 772.63 = 772.63 : x
  2. Step 2: Convert to fraction form
    367.38/772.63 = 772.63/x
  3. Step 3: Cross multiply
    367.38x = 772.63 × 772.63
  4. Step 4: Simplify right side
    367.38x = 596,949.39
  5. Step 5: Solve for x
    x = 596,949.39/367.38
  6. Step 6: Final answer
    x = 1,624.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.