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Finding the Third Proportional to 203,244 and 446,706

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Solution

The third proportional to 203,244 and 446,706 is: 981,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,244 : 446,706 = 446,706 : x
  2. Step 2: Convert to fraction form
    203,244/446,706 = 446,706/x
  3. Step 3: Cross multiply
    203,244x = 446,706 × 446,706
  4. Step 4: Simplify right side
    203,244x = 199,546,250,436
  5. Step 5: Solve for x
    x = 199,546,250,436/203,244
  6. Step 6: Final answer
    x = 981,806.35

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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.