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Finding the Third Proportional to 422,850 and 579,843

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Solution

The third proportional to 422,850 and 579,843 is: 795,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,850 : 579,843 = 579,843 : x
  2. Step 2: Convert to fraction form
    422,850/579,843 = 579,843/x
  3. Step 3: Cross multiply
    422,850x = 579,843 × 579,843
  4. Step 4: Simplify right side
    422,850x = 336,217,904,649
  5. Step 5: Solve for x
    x = 336,217,904,649/422,850
  6. Step 6: Final answer
    x = 795,123.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.