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Finding the Third Proportional to 311,659.50 and 672,525.75

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Solution

The third proportional to 311,659.50 and 672,525.75 is: 1,451,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,659.50 : 672,525.75 = 672,525.75 : x
  2. Step 2: Convert to fraction form
    311,659.50/672,525.75 = 672,525.75/x
  3. Step 3: Cross multiply
    311,659.50x = 672,525.75 × 672,525.75
  4. Step 4: Simplify right side
    311,659.50x = 452,290,884,413.06
  5. Step 5: Solve for x
    x = 452,290,884,413.06/311,659.50
  6. Step 6: Final answer
    x = 1,451,234.07

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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.