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Finding the Third Proportional to 682.88 and 997.69

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Solution

The third proportional to 682.88 and 997.69 is: 1,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.88 : 997.69 = 997.69 : x
  2. Step 2: Convert to fraction form
    682.88/997.69 = 997.69/x
  3. Step 3: Cross multiply
    682.88x = 997.69 × 997.69
  4. Step 4: Simplify right side
    682.88x = 995,380.35
  5. Step 5: Solve for x
    x = 995,380.35/682.88
  6. Step 6: Final answer
    x = 1,457.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.