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Finding the Third Proportional to 204,349 and 445,479

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Solution

The third proportional to 204,349 and 445,479 is: 971,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,349 : 445,479 = 445,479 : x
  2. Step 2: Convert to fraction form
    204,349/445,479 = 445,479/x
  3. Step 3: Cross multiply
    204,349x = 445,479 × 445,479
  4. Step 4: Simplify right side
    204,349x = 198,451,539,441
  5. Step 5: Solve for x
    x = 198,451,539,441/204,349
  6. Step 6: Final answer
    x = 971,140.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.