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Finding the Third Proportional to 741.66 and 998.37

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Solution

The third proportional to 741.66 and 998.37 is: 1,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.66 : 998.37 = 998.37 : x
  2. Step 2: Convert to fraction form
    741.66/998.37 = 998.37/x
  3. Step 3: Cross multiply
    741.66x = 998.37 × 998.37
  4. Step 4: Simplify right side
    741.66x = 996,737.04
  5. Step 5: Solve for x
    x = 996,737.04/741.66
  6. Step 6: Final answer
    x = 1,343.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.