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Finding the Third Proportional to 344.44 and 614.72

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Solution

The third proportional to 344.44 and 614.72 is: 1,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 614.72 = 614.72 : x
  2. Step 2: Convert to fraction form
    344.44/614.72 = 614.72/x
  3. Step 3: Cross multiply
    344.44x = 614.72 × 614.72
  4. Step 4: Simplify right side
    344.44x = 377,879.14
  5. Step 5: Solve for x
    x = 377,879.14/344.44
  6. Step 6: Final answer
    x = 1,097.09

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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.