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Finding the Third Proportional to 296,434 and 443,837

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Solution

The third proportional to 296,434 and 443,837 is: 664,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,434 : 443,837 = 443,837 : x
  2. Step 2: Convert to fraction form
    296,434/443,837 = 443,837/x
  3. Step 3: Cross multiply
    296,434x = 443,837 × 443,837
  4. Step 4: Simplify right side
    296,434x = 196,991,282,569
  5. Step 5: Solve for x
    x = 196,991,282,569/296,434
  6. Step 6: Final answer
    x = 664,536.74

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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.