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Finding the Third Proportional to 408.23 and 894.66

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Solution

The third proportional to 408.23 and 894.66 is: 1,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.23 : 894.66 = 894.66 : x
  2. Step 2: Convert to fraction form
    408.23/894.66 = 894.66/x
  3. Step 3: Cross multiply
    408.23x = 894.66 × 894.66
  4. Step 4: Simplify right side
    408.23x = 800,409.81
  5. Step 5: Solve for x
    x = 800,409.81/408.23
  6. Step 6: Final answer
    x = 1,960.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.