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Finding the Third Proportional to 379,824 and 601,446

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Solution

The third proportional to 379,824 and 601,446 is: 952,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,824 : 601,446 = 601,446 : x
  2. Step 2: Convert to fraction form
    379,824/601,446 = 601,446/x
  3. Step 3: Cross multiply
    379,824x = 601,446 × 601,446
  4. Step 4: Simplify right side
    379,824x = 361,737,290,916
  5. Step 5: Solve for x
    x = 361,737,290,916/379,824
  6. Step 6: Final answer
    x = 952,381.34

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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.