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Finding the Third Proportional to 589.22 and 1,269.56

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Solution

The third proportional to 589.22 and 1,269.56 is: 2,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 1,269.56 = 1,269.56 : x
  2. Step 2: Convert to fraction form
    589.22/1,269.56 = 1,269.56/x
  3. Step 3: Cross multiply
    589.22x = 1,269.56 × 1,269.56
  4. Step 4: Simplify right side
    589.22x = 1,611,788.94
  5. Step 5: Solve for x
    x = 1,611,788.94/589.22
  6. Step 6: Final answer
    x = 2,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.