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Finding the Third Proportional to 300.09 and 693.98

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Solution

The third proportional to 300.09 and 693.98 is: 1,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.09 : 693.98 = 693.98 : x
  2. Step 2: Convert to fraction form
    300.09/693.98 = 693.98/x
  3. Step 3: Cross multiply
    300.09x = 693.98 × 693.98
  4. Step 4: Simplify right side
    300.09x = 481,614.31
  5. Step 5: Solve for x
    x = 481,614.31/300.09
  6. Step 6: Final answer
    x = 1,604.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.