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Finding the Third Proportional to 342.94 and 728.81

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Solution

The third proportional to 342.94 and 728.81 is: 1,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 728.81 = 728.81 : x
  2. Step 2: Convert to fraction form
    342.94/728.81 = 728.81/x
  3. Step 3: Cross multiply
    342.94x = 728.81 × 728.81
  4. Step 4: Simplify right side
    342.94x = 531,167.66
  5. Step 5: Solve for x
    x = 531,167.66/342.94
  6. Step 6: Final answer
    x = 1,548.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.