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Finding the Third Proportional to 289.69 and 602.44

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Solution

The third proportional to 289.69 and 602.44 is: 1,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 602.44 = 602.44 : x
  2. Step 2: Convert to fraction form
    289.69/602.44 = 602.44/x
  3. Step 3: Cross multiply
    289.69x = 602.44 × 602.44
  4. Step 4: Simplify right side
    289.69x = 362,930.94
  5. Step 5: Solve for x
    x = 362,930.94/289.69
  6. Step 6: Final answer
    x = 1,252.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.