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Finding the Third Proportional to 395,329 and 850,697

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Solution

The third proportional to 395,329 and 850,697 is: 1,830,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,329 : 850,697 = 850,697 : x
  2. Step 2: Convert to fraction form
    395,329/850,697 = 850,697/x
  3. Step 3: Cross multiply
    395,329x = 850,697 × 850,697
  4. Step 4: Simplify right side
    395,329x = 723,685,385,809
  5. Step 5: Solve for x
    x = 723,685,385,809/395,329
  6. Step 6: Final answer
    x = 1,830,590.18

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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.