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Finding the Third Proportional to 395,328 and 850,694

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Solution

The third proportional to 395,328 and 850,694 is: 1,830,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,328 : 850,694 = 850,694 : x
  2. Step 2: Convert to fraction form
    395,328/850,694 = 850,694/x
  3. Step 3: Cross multiply
    395,328x = 850,694 × 850,694
  4. Step 4: Simplify right side
    395,328x = 723,680,281,636
  5. Step 5: Solve for x
    x = 723,680,281,636/395,328
  6. Step 6: Final answer
    x = 1,830,581.90

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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.