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Finding the Third Proportional to 203,692 and 447,560

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Solution

The third proportional to 203,692 and 447,560 is: 983,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692 : 447,560 = 447,560 : x
  2. Step 2: Convert to fraction form
    203,692/447,560 = 447,560/x
  3. Step 3: Cross multiply
    203,692x = 447,560 × 447,560
  4. Step 4: Simplify right side
    203,692x = 200,309,953,600
  5. Step 5: Solve for x
    x = 200,309,953,600/203,692
  6. Step 6: Final answer
    x = 983,396.27

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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.