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Finding the Third Proportional to 395,448 and 853,104

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Solution

The third proportional to 395,448 and 853,104 is: 1,840,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448 : 853,104 = 853,104 : x
  2. Step 2: Convert to fraction form
    395,448/853,104 = 853,104/x
  3. Step 3: Cross multiply
    395,448x = 853,104 × 853,104
  4. Step 4: Simplify right side
    395,448x = 727,786,434,816
  5. Step 5: Solve for x
    x = 727,786,434,816/395,448
  6. Step 6: Final answer
    x = 1,840,409.95

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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.