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Finding the Third Proportional to 743.24 and 1,141.91

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Solution

The third proportional to 743.24 and 1,141.91 is: 1,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.24 : 1,141.91 = 1,141.91 : x
  2. Step 2: Convert to fraction form
    743.24/1,141.91 = 1,141.91/x
  3. Step 3: Cross multiply
    743.24x = 1,141.91 × 1,141.91
  4. Step 4: Simplify right side
    743.24x = 1,303,958.80
  5. Step 5: Solve for x
    x = 1,303,958.80/743.24
  6. Step 6: Final answer
    x = 1,754.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.