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Finding the Third Proportional to 344.39 and 749.53

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Solution

The third proportional to 344.39 and 749.53 is: 1,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.39 : 749.53 = 749.53 : x
  2. Step 2: Convert to fraction form
    344.39/749.53 = 749.53/x
  3. Step 3: Cross multiply
    344.39x = 749.53 × 749.53
  4. Step 4: Simplify right side
    344.39x = 561,797.09
  5. Step 5: Solve for x
    x = 561,797.09/344.39
  6. Step 6: Final answer
    x = 1,631.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.