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Finding the Third Proportional to 395,450 and 853,108

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Solution

The third proportional to 395,450 and 853,108 is: 1,840,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,450 : 853,108 = 853,108 : x
  2. Step 2: Convert to fraction form
    395,450/853,108 = 853,108/x
  3. Step 3: Cross multiply
    395,450x = 853,108 × 853,108
  4. Step 4: Simplify right side
    395,450x = 727,793,259,664
  5. Step 5: Solve for x
    x = 727,793,259,664/395,450
  6. Step 6: Final answer
    x = 1,840,417.90

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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.