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Finding the Third Proportional to 289,217.25 and 444,821.63

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Solution

The third proportional to 289,217.25 and 444,821.63 is: 684,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,217.25 : 444,821.63 = 444,821.63 : x
  2. Step 2: Convert to fraction form
    289,217.25/444,821.63 = 444,821.63/x
  3. Step 3: Cross multiply
    289,217.25x = 444,821.63 × 444,821.63
  4. Step 4: Simplify right side
    289,217.25x = 197,866,278,067.64
  5. Step 5: Solve for x
    x = 197,866,278,067.64/289,217.25
  6. Step 6: Final answer
    x = 684,144.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.