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Finding the Third Proportional to 395,462 and 853,132

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Solution

The third proportional to 395,462 and 853,132 is: 1,840,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,462 : 853,132 = 853,132 : x
  2. Step 2: Convert to fraction form
    395,462/853,132 = 853,132/x
  3. Step 3: Cross multiply
    395,462x = 853,132 × 853,132
  4. Step 4: Simplify right side
    395,462x = 727,834,209,424
  5. Step 5: Solve for x
    x = 727,834,209,424/395,462
  6. Step 6: Final answer
    x = 1,840,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.