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Finding the Third Proportional to 199,539 and 443,364

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Solution

The third proportional to 199,539 and 443,364 is: 985,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539 : 443,364 = 443,364 : x
  2. Step 2: Convert to fraction form
    199,539/443,364 = 443,364/x
  3. Step 3: Cross multiply
    199,539x = 443,364 × 443,364
  4. Step 4: Simplify right side
    199,539x = 196,571,636,496
  5. Step 5: Solve for x
    x = 196,571,636,496/199,539
  6. Step 6: Final answer
    x = 985,128.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.