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Finding the Third Proportional to 329.69 and 463.84

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Solution

The third proportional to 329.69 and 463.84 is: 652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 463.84 = 463.84 : x
  2. Step 2: Convert to fraction form
    329.69/463.84 = 463.84/x
  3. Step 3: Cross multiply
    329.69x = 463.84 × 463.84
  4. Step 4: Simplify right side
    329.69x = 215,151.02
  5. Step 5: Solve for x
    x = 215,151.02/329.69
  6. Step 6: Final answer
    x = 652.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.