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Finding the Third Proportional to 295,449 and 443,064

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Solution

The third proportional to 295,449 and 443,064 is: 664,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,449 : 443,064 = 443,064 : x
  2. Step 2: Convert to fraction form
    295,449/443,064 = 443,064/x
  3. Step 3: Cross multiply
    295,449x = 443,064 × 443,064
  4. Step 4: Simplify right side
    295,449x = 196,305,708,096
  5. Step 5: Solve for x
    x = 196,305,708,096/295,449
  6. Step 6: Final answer
    x = 664,431.79

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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.