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Finding the Third Proportional to 325,434 and 700,821

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Solution

The third proportional to 325,434 and 700,821 is: 1,509,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,434 : 700,821 = 700,821 : x
  2. Step 2: Convert to fraction form
    325,434/700,821 = 700,821/x
  3. Step 3: Cross multiply
    325,434x = 700,821 × 700,821
  4. Step 4: Simplify right side
    325,434x = 491,150,074,041
  5. Step 5: Solve for x
    x = 491,150,074,041/325,434
  6. Step 6: Final answer
    x = 1,509,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.