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Finding the Third Proportional to 204,870 and 443,436

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Solution

The third proportional to 204,870 and 443,436 is: 959,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,870 : 443,436 = 443,436 : x
  2. Step 2: Convert to fraction form
    204,870/443,436 = 443,436/x
  3. Step 3: Cross multiply
    204,870x = 443,436 × 443,436
  4. Step 4: Simplify right side
    204,870x = 196,635,486,096
  5. Step 5: Solve for x
    x = 196,635,486,096/204,870
  6. Step 6: Final answer
    x = 959,806.15

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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.