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Finding the Third Proportional to 295,435 and 443,041

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Solution

The third proportional to 295,435 and 443,041 is: 664,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,435 : 443,041 = 443,041 : x
  2. Step 2: Convert to fraction form
    295,435/443,041 = 443,041/x
  3. Step 3: Cross multiply
    295,435x = 443,041 × 443,041
  4. Step 4: Simplify right side
    295,435x = 196,285,327,681
  5. Step 5: Solve for x
    x = 196,285,327,681/295,435
  6. Step 6: Final answer
    x = 664,394.29

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Why These Related Problems?

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