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Finding the Third Proportional to 379,815 and 601,434

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Solution

The third proportional to 379,815 and 601,434 is: 952,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,815 : 601,434 = 601,434 : x
  2. Step 2: Convert to fraction form
    379,815/601,434 = 601,434/x
  3. Step 3: Cross multiply
    379,815x = 601,434 × 601,434
  4. Step 4: Simplify right side
    379,815x = 361,722,856,356
  5. Step 5: Solve for x
    x = 361,722,856,356/379,815
  6. Step 6: Final answer
    x = 952,365.91

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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.