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Finding the Third Proportional to 741.94 and 1,186.88

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Solution

The third proportional to 741.94 and 1,186.88 is: 1,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.94 : 1,186.88 = 1,186.88 : x
  2. Step 2: Convert to fraction form
    741.94/1,186.88 = 1,186.88/x
  3. Step 3: Cross multiply
    741.94x = 1,186.88 × 1,186.88
  4. Step 4: Simplify right side
    741.94x = 1,408,672.27
  5. Step 5: Solve for x
    x = 1,408,672.27/741.94
  6. Step 6: Final answer
    x = 1,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.