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Finding the Third Proportional to 400,800 and 600,096

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Solution

The third proportional to 400,800 and 600,096 is: 898,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,800 : 600,096 = 600,096 : x
  2. Step 2: Convert to fraction form
    400,800/600,096 = 600,096/x
  3. Step 3: Cross multiply
    400,800x = 600,096 × 600,096
  4. Step 4: Simplify right side
    400,800x = 360,115,209,216
  5. Step 5: Solve for x
    x = 360,115,209,216/400,800
  6. Step 6: Final answer
    x = 898,491.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.