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Finding the Third Proportional to 329.75 and 473.88

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Solution

The third proportional to 329.75 and 473.88 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.75 : 473.88 = 473.88 : x
  2. Step 2: Convert to fraction form
    329.75/473.88 = 473.88/x
  3. Step 3: Cross multiply
    329.75x = 473.88 × 473.88
  4. Step 4: Simplify right side
    329.75x = 224,557.52
  5. Step 5: Solve for x
    x = 224,557.52/329.75
  6. Step 6: Final answer
    x = 680.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.