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Finding the Third Proportional to 392,832 and 600,662.25

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Solution

The third proportional to 392,832 and 600,662.25 is: 918,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,832 : 600,662.25 = 600,662.25 : x
  2. Step 2: Convert to fraction form
    392,832/600,662.25 = 600,662.25/x
  3. Step 3: Cross multiply
    392,832x = 600,662.25 × 600,662.25
  4. Step 4: Simplify right side
    392,832x = 360,795,138,575.06
  5. Step 5: Solve for x
    x = 360,795,138,575.06/392,832
  6. Step 6: Final answer
    x = 918,446.41

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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.