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Finding the Third Proportional to 392,828 and 600,675

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Solution

The third proportional to 392,828 and 600,675 is: 918,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,828 : 600,675 = 600,675 : x
  2. Step 2: Convert to fraction form
    392,828/600,675 = 600,675/x
  3. Step 3: Cross multiply
    392,828x = 600,675 × 600,675
  4. Step 4: Simplify right side
    392,828x = 360,810,455,625
  5. Step 5: Solve for x
    x = 360,810,455,625/392,828
  6. Step 6: Final answer
    x = 918,494.75

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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.