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Finding the Third Proportional to 203,526 and 447,648

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Solution

The third proportional to 203,526 and 447,648 is: 984,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,526 : 447,648 = 447,648 : x
  2. Step 2: Convert to fraction form
    203,526/447,648 = 447,648/x
  3. Step 3: Cross multiply
    203,526x = 447,648 × 447,648
  4. Step 4: Simplify right side
    203,526x = 200,388,731,904
  5. Step 5: Solve for x
    x = 200,388,731,904/203,526
  6. Step 6: Final answer
    x = 984,585.42

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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.