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Finding the Third Proportional to 299,824 and 455,874

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Solution

The third proportional to 299,824 and 455,874 is: 693,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,824 : 455,874 = 455,874 : x
  2. Step 2: Convert to fraction form
    299,824/455,874 = 455,874/x
  3. Step 3: Cross multiply
    299,824x = 455,874 × 455,874
  4. Step 4: Simplify right side
    299,824x = 207,821,103,876
  5. Step 5: Solve for x
    x = 207,821,103,876/299,824
  6. Step 6: Final answer
    x = 693,143.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.