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Finding the Third Proportional to 624,408 and 892,266

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Solution

The third proportional to 624,408 and 892,266 is: 1,275,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,408 : 892,266 = 892,266 : x
  2. Step 2: Convert to fraction form
    624,408/892,266 = 892,266/x
  3. Step 3: Cross multiply
    624,408x = 892,266 × 892,266
  4. Step 4: Simplify right side
    624,408x = 796,138,614,756
  5. Step 5: Solve for x
    x = 796,138,614,756/624,408
  6. Step 6: Final answer
    x = 1,275,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.