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Finding the Third Proportional to 325,976 and 672,256

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Solution

The third proportional to 325,976 and 672,256 is: 1,386,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,976 : 672,256 = 672,256 : x
  2. Step 2: Convert to fraction form
    325,976/672,256 = 672,256/x
  3. Step 3: Cross multiply
    325,976x = 672,256 × 672,256
  4. Step 4: Simplify right side
    325,976x = 451,928,129,536
  5. Step 5: Solve for x
    x = 451,928,129,536/325,976
  6. Step 6: Final answer
    x = 1,386,384.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.