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Finding the Third Proportional to 395,319 and 850,677

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Solution

The third proportional to 395,319 and 850,677 is: 1,830,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,319 : 850,677 = 850,677 : x
  2. Step 2: Convert to fraction form
    395,319/850,677 = 850,677/x
  3. Step 3: Cross multiply
    395,319x = 850,677 × 850,677
  4. Step 4: Simplify right side
    395,319x = 723,651,358,329
  5. Step 5: Solve for x
    x = 723,651,358,329/395,319
  6. Step 6: Final answer
    x = 1,830,550.41

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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.