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Finding the Third Proportional to 444,086 and 687,349

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Solution

The third proportional to 444,086 and 687,349 is: 1,063,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,086 : 687,349 = 687,349 : x
  2. Step 2: Convert to fraction form
    444,086/687,349 = 687,349/x
  3. Step 3: Cross multiply
    444,086x = 687,349 × 687,349
  4. Step 4: Simplify right side
    444,086x = 472,448,647,801
  5. Step 5: Solve for x
    x = 472,448,647,801/444,086
  6. Step 6: Final answer
    x = 1,063,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.