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Finding the Third Proportional to 321,384.50 and 667,680

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Solution

The third proportional to 321,384.50 and 667,680 is: 1,387,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,384.50 : 667,680 = 667,680 : x
  2. Step 2: Convert to fraction form
    321,384.50/667,680 = 667,680/x
  3. Step 3: Cross multiply
    321,384.50x = 667,680 × 667,680
  4. Step 4: Simplify right side
    321,384.50x = 445,796,582,400
  5. Step 5: Solve for x
    x = 445,796,582,400/321,384.50
  6. Step 6: Final answer
    x = 1,387,112.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.