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Finding the Third Proportional to 301,694 and 447,324

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Solution

The third proportional to 301,694 and 447,324 is: 663,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,694 : 447,324 = 447,324 : x
  2. Step 2: Convert to fraction form
    301,694/447,324 = 447,324/x
  3. Step 3: Cross multiply
    301,694x = 447,324 × 447,324
  4. Step 4: Simplify right side
    301,694x = 200,098,760,976
  5. Step 5: Solve for x
    x = 200,098,760,976/301,694
  6. Step 6: Final answer
    x = 663,250.71

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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.