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Finding the Third Proportional to 395,449.50 and 853,107

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Solution

The third proportional to 395,449.50 and 853,107 is: 1,840,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,449.50 : 853,107 = 853,107 : x
  2. Step 2: Convert to fraction form
    395,449.50/853,107 = 853,107/x
  3. Step 3: Cross multiply
    395,449.50x = 853,107 × 853,107
  4. Step 4: Simplify right side
    395,449.50x = 727,791,553,449
  5. Step 5: Solve for x
    x = 727,791,553,449/395,449.50
  6. Step 6: Final answer
    x = 1,840,415.92

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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.