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Finding the Third Proportional to 736.17 and 1,600.17

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Solution

The third proportional to 736.17 and 1,600.17 is: 3,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.17 : 1,600.17 = 1,600.17 : x
  2. Step 2: Convert to fraction form
    736.17/1,600.17 = 1,600.17/x
  3. Step 3: Cross multiply
    736.17x = 1,600.17 × 1,600.17
  4. Step 4: Simplify right side
    736.17x = 2,560,550.03
  5. Step 5: Solve for x
    x = 2,560,550.03/736.17
  6. Step 6: Final answer
    x = 3,478.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.