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Finding the Third Proportional to 499.92 and 997.95

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Solution

The third proportional to 499.92 and 997.95 is: 1,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 997.95 = 997.95 : x
  2. Step 2: Convert to fraction form
    499.92/997.95 = 997.95/x
  3. Step 3: Cross multiply
    499.92x = 997.95 × 997.95
  4. Step 4: Simplify right side
    499.92x = 995,894.85
  5. Step 5: Solve for x
    x = 995,894.85/499.92
  6. Step 6: Final answer
    x = 1,992.10

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.