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Finding the Third Proportional to 203,694 and 447,564

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Solution

The third proportional to 203,694 and 447,564 is: 983,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,694 : 447,564 = 447,564 : x
  2. Step 2: Convert to fraction form
    203,694/447,564 = 447,564/x
  3. Step 3: Cross multiply
    203,694x = 447,564 × 447,564
  4. Step 4: Simplify right side
    203,694x = 200,313,534,096
  5. Step 5: Solve for x
    x = 200,313,534,096/203,694
  6. Step 6: Final answer
    x = 983,404.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.