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Finding the Third Proportional to 392,825 and 600,652

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Solution

The third proportional to 392,825 and 600,652 is: 918,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,825 : 600,652 = 600,652 : x
  2. Step 2: Convert to fraction form
    392,825/600,652 = 600,652/x
  3. Step 3: Cross multiply
    392,825x = 600,652 × 600,652
  4. Step 4: Simplify right side
    392,825x = 360,782,825,104
  5. Step 5: Solve for x
    x = 360,782,825,104/392,825
  6. Step 6: Final answer
    x = 918,431.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.