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Finding the Third Proportional to 442,852 and 664,163

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Solution

The third proportional to 442,852 and 664,163 is: 996,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,852 : 664,163 = 664,163 : x
  2. Step 2: Convert to fraction form
    442,852/664,163 = 664,163/x
  3. Step 3: Cross multiply
    442,852x = 664,163 × 664,163
  4. Step 4: Simplify right side
    442,852x = 441,112,490,569
  5. Step 5: Solve for x
    x = 441,112,490,569/442,852
  6. Step 6: Final answer
    x = 996,072.03

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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.