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Finding the Third Proportional to 443,272 and 664,736

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Solution

The third proportional to 443,272 and 664,736 is: 996,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,272 : 664,736 = 664,736 : x
  2. Step 2: Convert to fraction form
    443,272/664,736 = 664,736/x
  3. Step 3: Cross multiply
    443,272x = 664,736 × 664,736
  4. Step 4: Simplify right side
    443,272x = 441,873,949,696
  5. Step 5: Solve for x
    x = 441,873,949,696/443,272
  6. Step 6: Final answer
    x = 996,846.07

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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.