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Finding the Third Proportional to 379,532 and 815,344

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Solution

The third proportional to 379,532 and 815,344 is: 1,751,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,532 : 815,344 = 815,344 : x
  2. Step 2: Convert to fraction form
    379,532/815,344 = 815,344/x
  3. Step 3: Cross multiply
    379,532x = 815,344 × 815,344
  4. Step 4: Simplify right side
    379,532x = 664,785,838,336
  5. Step 5: Solve for x
    x = 664,785,838,336/379,532
  6. Step 6: Final answer
    x = 1,751,593.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.