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Finding the Third Proportional to 286.99 and 622.03

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Solution

The third proportional to 286.99 and 622.03 is: 1,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 622.03 = 622.03 : x
  2. Step 2: Convert to fraction form
    286.99/622.03 = 622.03/x
  3. Step 3: Cross multiply
    286.99x = 622.03 × 622.03
  4. Step 4: Simplify right side
    286.99x = 386,927.43
  5. Step 5: Solve for x
    x = 386,927.43/286.99
  6. Step 6: Final answer
    x = 1,348.22

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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.