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Finding the Third Proportional to 475.03 and 998.02

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Solution

The third proportional to 475.03 and 998.02 is: 2,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.03 : 998.02 = 998.02 : x
  2. Step 2: Convert to fraction form
    475.03/998.02 = 998.02/x
  3. Step 3: Cross multiply
    475.03x = 998.02 × 998.02
  4. Step 4: Simplify right side
    475.03x = 996,035.19
  5. Step 5: Solve for x
    x = 996,035.19/475.03
  6. Step 6: Final answer
    x = 2,096.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.