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Finding the Third Proportional to 264,962 and 396,435

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Solution

The third proportional to 264,962 and 396,435 is: 593,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,962 : 396,435 = 396,435 : x
  2. Step 2: Convert to fraction form
    264,962/396,435 = 396,435/x
  3. Step 3: Cross multiply
    264,962x = 396,435 × 396,435
  4. Step 4: Simplify right side
    264,962x = 157,160,709,225
  5. Step 5: Solve for x
    x = 157,160,709,225/264,962
  6. Step 6: Final answer
    x = 593,144.33

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