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Finding the Third Proportional to 998.86 and 1,512.14

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Solution

The third proportional to 998.86 and 1,512.14 is: 2,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.86 : 1,512.14 = 1,512.14 : x
  2. Step 2: Convert to fraction form
    998.86/1,512.14 = 1,512.14/x
  3. Step 3: Cross multiply
    998.86x = 1,512.14 × 1,512.14
  4. Step 4: Simplify right side
    998.86x = 2,286,569.27
  5. Step 5: Solve for x
    x = 2,286,569.27/998.86
  6. Step 6: Final answer
    x = 2,289.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.