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Finding the Third Proportional to 400,744 and 600,108

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Solution

The third proportional to 400,744 and 600,108 is: 898,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,744 : 600,108 = 600,108 : x
  2. Step 2: Convert to fraction form
    400,744/600,108 = 600,108/x
  3. Step 3: Cross multiply
    400,744x = 600,108 × 600,108
  4. Step 4: Simplify right side
    400,744x = 360,129,611,664
  5. Step 5: Solve for x
    x = 360,129,611,664/400,744
  6. Step 6: Final answer
    x = 898,652.54

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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.