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Finding the Third Proportional to 300 and 608.63

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Solution

The third proportional to 300 and 608.63 is: 1,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 608.63 = 608.63 : x
  2. Step 2: Convert to fraction form
    300/608.63 = 608.63/x
  3. Step 3: Cross multiply
    300x = 608.63 × 608.63
  4. Step 4: Simplify right side
    300x = 370,424.39
  5. Step 5: Solve for x
    x = 370,424.39/300
  6. Step 6: Final answer
    x = 1,234.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.