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Finding the Third Proportional to 534,879.75 and 1,174,733.25

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Solution

The third proportional to 534,879.75 and 1,174,733.25 is: 2,580,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,879.75 : 1,174,733.25 = 1,174,733.25 : x
  2. Step 2: Convert to fraction form
    534,879.75/1,174,733.25 = 1,174,733.25/x
  3. Step 3: Cross multiply
    534,879.75x = 1,174,733.25 × 1,174,733.25
  4. Step 4: Simplify right side
    534,879.75x = 1,379,998,208,655.56
  5. Step 5: Solve for x
    x = 1,379,998,208,655.56/534,879.75
  6. Step 6: Final answer
    x = 2,580,015.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.