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Finding the Third Proportional to 202,539 and 443,262

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Solution

The third proportional to 202,539 and 443,262 is: 970,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,539 : 443,262 = 443,262 : x
  2. Step 2: Convert to fraction form
    202,539/443,262 = 443,262/x
  3. Step 3: Cross multiply
    202,539x = 443,262 × 443,262
  4. Step 4: Simplify right side
    202,539x = 196,481,200,644
  5. Step 5: Solve for x
    x = 196,481,200,644/202,539
  6. Step 6: Final answer
    x = 970,090.70

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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.