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Finding the Third Proportional to 398,920.50 and 853,879.50

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Solution

The third proportional to 398,920.50 and 853,879.50 is: 1,827,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,920.50 : 853,879.50 = 853,879.50 : x
  2. Step 2: Convert to fraction form
    398,920.50/853,879.50 = 853,879.50/x
  3. Step 3: Cross multiply
    398,920.50x = 853,879.50 × 853,879.50
  4. Step 4: Simplify right side
    398,920.50x = 729,110,200,520.25
  5. Step 5: Solve for x
    x = 729,110,200,520.25/398,920.50
  6. Step 6: Final answer
    x = 1,827,708.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.