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Finding the Third Proportional to 624,492 and 892,368

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Solution

The third proportional to 624,492 and 892,368 is: 1,275,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,492 : 892,368 = 892,368 : x
  2. Step 2: Convert to fraction form
    624,492/892,368 = 892,368/x
  3. Step 3: Cross multiply
    624,492x = 892,368 × 892,368
  4. Step 4: Simplify right side
    624,492x = 796,320,647,424
  5. Step 5: Solve for x
    x = 796,320,647,424/624,492
  6. Step 6: Final answer
    x = 1,275,149.48

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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.