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Finding the Third Proportional to 998.06 and 1,775.06

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Solution

The third proportional to 998.06 and 1,775.06 is: 3,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.06 : 1,775.06 = 1,775.06 : x
  2. Step 2: Convert to fraction form
    998.06/1,775.06 = 1,775.06/x
  3. Step 3: Cross multiply
    998.06x = 1,775.06 × 1,775.06
  4. Step 4: Simplify right side
    998.06x = 3,150,846.88
  5. Step 5: Solve for x
    x = 3,150,846.88/998.06
  6. Step 6: Final answer
    x = 3,156.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.