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Finding the Third Proportional to 399,021.19 and 582,979.78

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Solution

The third proportional to 399,021.19 and 582,979.78 is: 851,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,021.19 : 582,979.78 = 582,979.78 : x
  2. Step 2: Convert to fraction form
    399,021.19/582,979.78 = 582,979.78/x
  3. Step 3: Cross multiply
    399,021.19x = 582,979.78 × 582,979.78
  4. Step 4: Simplify right side
    399,021.19x = 339,865,425,346.30
  5. Step 5: Solve for x
    x = 339,865,425,346.30/399,021.19
  6. Step 6: Final answer
    x = 851,747.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.