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Finding the Third Proportional to 395,101.13 and 853,382.25

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Solution

The third proportional to 395,101.13 and 853,382.25 is: 1,843,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,101.13 : 853,382.25 = 853,382.25 : x
  2. Step 2: Convert to fraction form
    395,101.13/853,382.25 = 853,382.25/x
  3. Step 3: Cross multiply
    395,101.13x = 853,382.25 × 853,382.25
  4. Step 4: Simplify right side
    395,101.13x = 728,261,264,615.06
  5. Step 5: Solve for x
    x = 728,261,264,615.06/395,101.13
  6. Step 6: Final answer
    x = 1,843,227.51

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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.