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Finding the Third Proportional to 206,404 and 446,503

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Solution

The third proportional to 206,404 and 446,503 is: 965,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404 : 446,503 = 446,503 : x
  2. Step 2: Convert to fraction form
    206,404/446,503 = 446,503/x
  3. Step 3: Cross multiply
    206,404x = 446,503 × 446,503
  4. Step 4: Simplify right side
    206,404x = 199,364,929,009
  5. Step 5: Solve for x
    x = 199,364,929,009/206,404
  6. Step 6: Final answer
    x = 965,896.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.