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Finding the Third Proportional to 743.38 and 1,323.44

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Solution

The third proportional to 743.38 and 1,323.44 is: 2,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,323.44 = 1,323.44 : x
  2. Step 2: Convert to fraction form
    743.38/1,323.44 = 1,323.44/x
  3. Step 3: Cross multiply
    743.38x = 1,323.44 × 1,323.44
  4. Step 4: Simplify right side
    743.38x = 1,751,486.82
  5. Step 5: Solve for x
    x = 1,751,486.82/743.38
  6. Step 6: Final answer
    x = 2,356.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.