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Finding the Third Proportional to 229,379.06 and 539,682.75

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Solution

The third proportional to 229,379.06 and 539,682.75 is: 1,269,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,379.06 : 539,682.75 = 539,682.75 : x
  2. Step 2: Convert to fraction form
    229,379.06/539,682.75 = 539,682.75/x
  3. Step 3: Cross multiply
    229,379.06x = 539,682.75 × 539,682.75
  4. Step 4: Simplify right side
    229,379.06x = 291,257,470,647.56
  5. Step 5: Solve for x
    x = 291,257,470,647.56/229,379.06
  6. Step 6: Final answer
    x = 1,269,764.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.