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Finding the Third Proportional to 305,296 and 449,110

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Solution

The third proportional to 305,296 and 449,110 is: 660,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296 : 449,110 = 449,110 : x
  2. Step 2: Convert to fraction form
    305,296/449,110 = 449,110/x
  3. Step 3: Cross multiply
    305,296x = 449,110 × 449,110
  4. Step 4: Simplify right side
    305,296x = 201,699,792,100
  5. Step 5: Solve for x
    x = 201,699,792,100/305,296
  6. Step 6: Final answer
    x = 660,669.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.