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Finding the Third Proportional to 395,221 and 850,384

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Solution

The third proportional to 395,221 and 850,384 is: 1,829,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,221 : 850,384 = 850,384 : x
  2. Step 2: Convert to fraction form
    395,221/850,384 = 850,384/x
  3. Step 3: Cross multiply
    395,221x = 850,384 × 850,384
  4. Step 4: Simplify right side
    395,221x = 723,152,947,456
  5. Step 5: Solve for x
    x = 723,152,947,456/395,221
  6. Step 6: Final answer
    x = 1,829,743.23

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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.