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Finding the Third Proportional to 200,536 and 445,899

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Solution

The third proportional to 200,536 and 445,899 is: 991,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536 : 445,899 = 445,899 : x
  2. Step 2: Convert to fraction form
    200,536/445,899 = 445,899/x
  3. Step 3: Cross multiply
    200,536x = 445,899 × 445,899
  4. Step 4: Simplify right side
    200,536x = 198,825,918,201
  5. Step 5: Solve for x
    x = 198,825,918,201/200,536
  6. Step 6: Final answer
    x = 991,472.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.