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Finding the Third Proportional to 287.88 and 628.44

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Solution

The third proportional to 287.88 and 628.44 is: 1,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 628.44 = 628.44 : x
  2. Step 2: Convert to fraction form
    287.88/628.44 = 628.44/x
  3. Step 3: Cross multiply
    287.88x = 628.44 × 628.44
  4. Step 4: Simplify right side
    287.88x = 394,933.69
  5. Step 5: Solve for x
    x = 394,933.69/287.88
  6. Step 6: Final answer
    x = 1,371.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.