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Finding the Third Proportional to 329.91 and 506.46

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Solution

The third proportional to 329.91 and 506.46 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 506.46 = 506.46 : x
  2. Step 2: Convert to fraction form
    329.91/506.46 = 506.46/x
  3. Step 3: Cross multiply
    329.91x = 506.46 × 506.46
  4. Step 4: Simplify right side
    329.91x = 256,502.68
  5. Step 5: Solve for x
    x = 256,502.68/329.91
  6. Step 6: Final answer
    x = 777.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.