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Finding the Third Proportional to 400,831 and 599,302

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Solution

The third proportional to 400,831 and 599,302 is: 896,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,831 : 599,302 = 599,302 : x
  2. Step 2: Convert to fraction form
    400,831/599,302 = 599,302/x
  3. Step 3: Cross multiply
    400,831x = 599,302 × 599,302
  4. Step 4: Simplify right side
    400,831x = 359,162,887,204
  5. Step 5: Solve for x
    x = 359,162,887,204/400,831
  6. Step 6: Final answer
    x = 896,045.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.