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Finding the Third Proportional to 447,668 and 675,824

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Solution

The third proportional to 447,668 and 675,824 is: 1,020,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,668 : 675,824 = 675,824 : x
  2. Step 2: Convert to fraction form
    447,668/675,824 = 675,824/x
  3. Step 3: Cross multiply
    447,668x = 675,824 × 675,824
  4. Step 4: Simplify right side
    447,668x = 456,738,078,976
  5. Step 5: Solve for x
    x = 456,738,078,976/447,668
  6. Step 6: Final answer
    x = 1,020,260.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.