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Finding the Third Proportional to 286.77 and 622.16

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Solution

The third proportional to 286.77 and 622.16 is: 1,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 622.16 = 622.16 : x
  2. Step 2: Convert to fraction form
    286.77/622.16 = 622.16/x
  3. Step 3: Cross multiply
    286.77x = 622.16 × 622.16
  4. Step 4: Simplify right side
    286.77x = 387,083.26
  5. Step 5: Solve for x
    x = 387,083.26/286.77
  6. Step 6: Final answer
    x = 1,349.81

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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.