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Finding the Third Proportional to 379,917 and 601,587

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Solution

The third proportional to 379,917 and 601,587 is: 952,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,917 : 601,587 = 601,587 : x
  2. Step 2: Convert to fraction form
    379,917/601,587 = 601,587/x
  3. Step 3: Cross multiply
    379,917x = 601,587 × 601,587
  4. Step 4: Simplify right side
    379,917x = 361,906,918,569
  5. Step 5: Solve for x
    x = 361,906,918,569/379,917
  6. Step 6: Final answer
    x = 952,594.69

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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.