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Finding the Third Proportional to 289.97 and 600.09

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Solution

The third proportional to 289.97 and 600.09 is: 1,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 600.09 = 600.09 : x
  2. Step 2: Convert to fraction form
    289.97/600.09 = 600.09/x
  3. Step 3: Cross multiply
    289.97x = 600.09 × 600.09
  4. Step 4: Simplify right side
    289.97x = 360,112.51
  5. Step 5: Solve for x
    x = 360,112.51/289.97
  6. Step 6: Final answer
    x = 1,241.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.