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Finding the Third Proportional to 379,816 and 601,436

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Solution

The third proportional to 379,816 and 601,436 is: 952,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,816 : 601,436 = 601,436 : x
  2. Step 2: Convert to fraction form
    379,816/601,436 = 601,436/x
  3. Step 3: Cross multiply
    379,816x = 601,436 × 601,436
  4. Step 4: Simplify right side
    379,816x = 361,725,262,096
  5. Step 5: Solve for x
    x = 361,725,262,096/379,816
  6. Step 6: Final answer
    x = 952,369.73

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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.