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Finding the Third Proportional to 624,410 and 892,269

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Solution

The third proportional to 624,410 and 892,269 is: 1,275,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,410 : 892,269 = 892,269 : x
  2. Step 2: Convert to fraction form
    624,410/892,269 = 892,269/x
  3. Step 3: Cross multiply
    624,410x = 892,269 × 892,269
  4. Step 4: Simplify right side
    624,410x = 796,143,968,361
  5. Step 5: Solve for x
    x = 796,143,968,361/624,410
  6. Step 6: Final answer
    x = 1,275,033.98

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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.