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Finding the Third Proportional to 406.69 and 867.66

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Solution

The third proportional to 406.69 and 867.66 is: 1,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 867.66 = 867.66 : x
  2. Step 2: Convert to fraction form
    406.69/867.66 = 867.66/x
  3. Step 3: Cross multiply
    406.69x = 867.66 × 867.66
  4. Step 4: Simplify right side
    406.69x = 752,827.37
  5. Step 5: Solve for x
    x = 752,827.37/406.69
  6. Step 6: Final answer
    x = 1,851.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.