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Finding the Third Proportional to 301,695 and 447,325

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Solution

The third proportional to 301,695 and 447,325 is: 663,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,695 : 447,325 = 447,325 : x
  2. Step 2: Convert to fraction form
    301,695/447,325 = 447,325/x
  3. Step 3: Cross multiply
    301,695x = 447,325 × 447,325
  4. Step 4: Simplify right side
    301,695x = 200,099,655,625
  5. Step 5: Solve for x
    x = 200,099,655,625/301,695
  6. Step 6: Final answer
    x = 663,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.