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Finding the Third Proportional to 344.31 and 490.81

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Solution

The third proportional to 344.31 and 490.81 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 490.81 = 490.81 : x
  2. Step 2: Convert to fraction form
    344.31/490.81 = 490.81/x
  3. Step 3: Cross multiply
    344.31x = 490.81 × 490.81
  4. Step 4: Simplify right side
    344.31x = 240,896.91
  5. Step 5: Solve for x
    x = 240,896.91/344.31
  6. Step 6: Final answer
    x = 699.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.