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Finding the Third Proportional to 722.44 and 1,552.69

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Solution

The third proportional to 722.44 and 1,552.69 is: 3,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,552.69 = 1,552.69 : x
  2. Step 2: Convert to fraction form
    722.44/1,552.69 = 1,552.69/x
  3. Step 3: Cross multiply
    722.44x = 1,552.69 × 1,552.69
  4. Step 4: Simplify right side
    722.44x = 2,410,838.47
  5. Step 5: Solve for x
    x = 2,410,838.47/722.44
  6. Step 6: Final answer
    x = 3,337.09

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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.