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Finding the Third Proportional to 259,764.75 and 414,965.25

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Solution

The third proportional to 259,764.75 and 414,965.25 is: 662,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,764.75 : 414,965.25 = 414,965.25 : x
  2. Step 2: Convert to fraction form
    259,764.75/414,965.25 = 414,965.25/x
  3. Step 3: Cross multiply
    259,764.75x = 414,965.25 × 414,965.25
  4. Step 4: Simplify right side
    259,764.75x = 172,196,158,707.56
  5. Step 5: Solve for x
    x = 172,196,158,707.56/259,764.75
  6. Step 6: Final answer
    x = 662,892.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.