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Finding the Third Proportional to 244,570 and 321,608

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Solution

The third proportional to 244,570 and 321,608 is: 422,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,570 : 321,608 = 321,608 : x
  2. Step 2: Convert to fraction form
    244,570/321,608 = 321,608/x
  3. Step 3: Cross multiply
    244,570x = 321,608 × 321,608
  4. Step 4: Simplify right side
    244,570x = 103,431,705,664
  5. Step 5: Solve for x
    x = 103,431,705,664/244,570
  6. Step 6: Final answer
    x = 422,912.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.