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Finding the Third Proportional to 285,648 and 667,584

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Solution

The third proportional to 285,648 and 667,584 is: 1,560,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648 : 667,584 = 667,584 : x
  2. Step 2: Convert to fraction form
    285,648/667,584 = 667,584/x
  3. Step 3: Cross multiply
    285,648x = 667,584 × 667,584
  4. Step 4: Simplify right side
    285,648x = 445,668,397,056
  5. Step 5: Solve for x
    x = 445,668,397,056/285,648
  6. Step 6: Final answer
    x = 1,560,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.