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Finding the Third Proportional to 202,445 and 443,027

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Solution

The third proportional to 202,445 and 443,027 is: 969,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,445 : 443,027 = 443,027 : x
  2. Step 2: Convert to fraction form
    202,445/443,027 = 443,027/x
  3. Step 3: Cross multiply
    202,445x = 443,027 × 443,027
  4. Step 4: Simplify right side
    202,445x = 196,272,922,729
  5. Step 5: Solve for x
    x = 196,272,922,729/202,445
  6. Step 6: Final answer
    x = 969,512.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.