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Finding the Third Proportional to 203,762 and 447,861

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Solution

The third proportional to 203,762 and 447,861 is: 984,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,762 : 447,861 = 447,861 : x
  2. Step 2: Convert to fraction form
    203,762/447,861 = 447,861/x
  3. Step 3: Cross multiply
    203,762x = 447,861 × 447,861
  4. Step 4: Simplify right side
    203,762x = 200,579,475,321
  5. Step 5: Solve for x
    x = 200,579,475,321/203,762
  6. Step 6: Final answer
    x = 984,381.17

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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.