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Finding the Third Proportional to 324,648 and 704,745

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Solution

The third proportional to 324,648 and 704,745 is: 1,529,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,648 : 704,745 = 704,745 : x
  2. Step 2: Convert to fraction form
    324,648/704,745 = 704,745/x
  3. Step 3: Cross multiply
    324,648x = 704,745 × 704,745
  4. Step 4: Simplify right side
    324,648x = 496,665,515,025
  5. Step 5: Solve for x
    x = 496,665,515,025/324,648
  6. Step 6: Final answer
    x = 1,529,858.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.