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Finding the Third Proportional to 499.76 and 1,037.97

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Solution

The third proportional to 499.76 and 1,037.97 is: 2,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 1,037.97 = 1,037.97 : x
  2. Step 2: Convert to fraction form
    499.76/1,037.97 = 1,037.97/x
  3. Step 3: Cross multiply
    499.76x = 1,037.97 × 1,037.97
  4. Step 4: Simplify right side
    499.76x = 1,077,383.18
  5. Step 5: Solve for x
    x = 1,077,383.18/499.76
  6. Step 6: Final answer
    x = 2,155.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.