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Finding the Third Proportional to 325,824 and 672,384

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Solution

The third proportional to 325,824 and 672,384 is: 1,387,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,824 : 672,384 = 672,384 : x
  2. Step 2: Convert to fraction form
    325,824/672,384 = 672,384/x
  3. Step 3: Cross multiply
    325,824x = 672,384 × 672,384
  4. Step 4: Simplify right side
    325,824x = 452,100,243,456
  5. Step 5: Solve for x
    x = 452,100,243,456/325,824
  6. Step 6: Final answer
    x = 1,387,559.67

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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.