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Finding the Third Proportional to 410,271.75 and 892,356.75

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Solution

The third proportional to 410,271.75 and 892,356.75 is: 1,940,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,271.75 : 892,356.75 = 892,356.75 : x
  2. Step 2: Convert to fraction form
    410,271.75/892,356.75 = 892,356.75/x
  3. Step 3: Cross multiply
    410,271.75x = 892,356.75 × 892,356.75
  4. Step 4: Simplify right side
    410,271.75x = 796,300,569,270.56
  5. Step 5: Solve for x
    x = 796,300,569,270.56/410,271.75
  6. Step 6: Final answer
    x = 1,940,910.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.