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Finding the Third Proportional to 329,227 and 447,163

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Solution

The third proportional to 329,227 and 447,163 is: 607,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,227 : 447,163 = 447,163 : x
  2. Step 2: Convert to fraction form
    329,227/447,163 = 447,163/x
  3. Step 3: Cross multiply
    329,227x = 447,163 × 447,163
  4. Step 4: Simplify right side
    329,227x = 199,954,748,569
  5. Step 5: Solve for x
    x = 199,954,748,569/329,227
  6. Step 6: Final answer
    x = 607,346.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.