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Finding the Third Proportional to 203,624 and 447,400

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Solution

The third proportional to 203,624 and 447,400 is: 983,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624 : 447,400 = 447,400 : x
  2. Step 2: Convert to fraction form
    203,624/447,400 = 447,400/x
  3. Step 3: Cross multiply
    203,624x = 447,400 × 447,400
  4. Step 4: Simplify right side
    203,624x = 200,166,760,000
  5. Step 5: Solve for x
    x = 200,166,760,000/203,624
  6. Step 6: Final answer
    x = 983,021.45

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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.