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Finding the Third Proportional to 330.94 and 763.22

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Solution

The third proportional to 330.94 and 763.22 is: 1,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 763.22 = 763.22 : x
  2. Step 2: Convert to fraction form
    330.94/763.22 = 763.22/x
  3. Step 3: Cross multiply
    330.94x = 763.22 × 763.22
  4. Step 4: Simplify right side
    330.94x = 582,502.86
  5. Step 5: Solve for x
    x = 582,502.86/330.94
  6. Step 6: Final answer
    x = 1,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.