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Finding the Third Proportional to 682.94 and 1,502.56

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Solution

The third proportional to 682.94 and 1,502.56 is: 3,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 1,502.56 = 1,502.56 : x
  2. Step 2: Convert to fraction form
    682.94/1,502.56 = 1,502.56/x
  3. Step 3: Cross multiply
    682.94x = 1,502.56 × 1,502.56
  4. Step 4: Simplify right side
    682.94x = 2,257,694.07
  5. Step 5: Solve for x
    x = 2,257,694.07/682.94
  6. Step 6: Final answer
    x = 3,305.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.