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Finding the Third Proportional to 379,821 and 601,443

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Solution

The third proportional to 379,821 and 601,443 is: 952,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,821 : 601,443 = 601,443 : x
  2. Step 2: Convert to fraction form
    379,821/601,443 = 601,443/x
  3. Step 3: Cross multiply
    379,821x = 601,443 × 601,443
  4. Step 4: Simplify right side
    379,821x = 361,733,682,249
  5. Step 5: Solve for x
    x = 361,733,682,249/379,821
  6. Step 6: Final answer
    x = 952,379.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.