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Finding the Third Proportional to 1,334.39 and 1,994.20

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Solution

The third proportional to 1,334.39 and 1,994.20 is: 2,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.39 : 1,994.20 = 1,994.20 : x
  2. Step 2: Convert to fraction form
    1,334.39/1,994.20 = 1,994.20/x
  3. Step 3: Cross multiply
    1,334.39x = 1,994.20 × 1,994.20
  4. Step 4: Simplify right side
    1,334.39x = 3,976,846.10
  5. Step 5: Solve for x
    x = 3,976,846.10/1,334.39
  6. Step 6: Final answer
    x = 2,980.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.