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Finding the Third Proportional to 344.67 and 723.52

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Solution

The third proportional to 344.67 and 723.52 is: 1,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.67 : 723.52 = 723.52 : x
  2. Step 2: Convert to fraction form
    344.67/723.52 = 723.52/x
  3. Step 3: Cross multiply
    344.67x = 723.52 × 723.52
  4. Step 4: Simplify right side
    344.67x = 523,474.86
  5. Step 5: Solve for x
    x = 523,474.86/344.67
  6. Step 6: Final answer
    x = 1,518.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.