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Finding the Third Proportional to 379,934 and 601,608

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Solution

The third proportional to 379,934 and 601,608 is: 952,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,934 : 601,608 = 601,608 : x
  2. Step 2: Convert to fraction form
    379,934/601,608 = 601,608/x
  3. Step 3: Cross multiply
    379,934x = 601,608 × 601,608
  4. Step 4: Simplify right side
    379,934x = 361,932,185,664
  5. Step 5: Solve for x
    x = 361,932,185,664/379,934
  6. Step 6: Final answer
    x = 952,618.57

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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.