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Finding the Third Proportional to 298,122 and 451,035

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Solution

The third proportional to 298,122 and 451,035 is: 682,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,122 : 451,035 = 451,035 : x
  2. Step 2: Convert to fraction form
    298,122/451,035 = 451,035/x
  3. Step 3: Cross multiply
    298,122x = 451,035 × 451,035
  4. Step 4: Simplify right side
    298,122x = 203,432,571,225
  5. Step 5: Solve for x
    x = 203,432,571,225/298,122
  6. Step 6: Final answer
    x = 682,380.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.