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Finding the Third Proportional to 202,539 and 443,220

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Solution

The third proportional to 202,539 and 443,220 is: 969,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,539 : 443,220 = 443,220 : x
  2. Step 2: Convert to fraction form
    202,539/443,220 = 443,220/x
  3. Step 3: Cross multiply
    202,539x = 443,220 × 443,220
  4. Step 4: Simplify right side
    202,539x = 196,443,968,400
  5. Step 5: Solve for x
    x = 196,443,968,400/202,539
  6. Step 6: Final answer
    x = 969,906.87

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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.