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Finding the Third Proportional to 395,474 and 853,152

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Solution

The third proportional to 395,474 and 853,152 is: 1,840,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,474 : 853,152 = 853,152 : x
  2. Step 2: Convert to fraction form
    395,474/853,152 = 853,152/x
  3. Step 3: Cross multiply
    395,474x = 853,152 × 853,152
  4. Step 4: Simplify right side
    395,474x = 727,868,335,104
  5. Step 5: Solve for x
    x = 727,868,335,104/395,474
  6. Step 6: Final answer
    x = 1,840,496.05

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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.