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Finding the Third Proportional to 441,249.38 and 963,418.13

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Solution

The third proportional to 441,249.38 and 963,418.13 is: 2,103,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,249.38 : 963,418.13 = 963,418.13 : x
  2. Step 2: Convert to fraction form
    441,249.38/963,418.13 = 963,418.13/x
  3. Step 3: Cross multiply
    441,249.38x = 963,418.13 × 963,418.13
  4. Step 4: Simplify right side
    441,249.38x = 928,174,483,578.52
  5. Step 5: Solve for x
    x = 928,174,483,578.52/441,249.38
  6. Step 6: Final answer
    x = 2,103,514.56

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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.