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Finding the Third Proportional to 276,201 and 426,512

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Solution

The third proportional to 276,201 and 426,512 is: 658,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,201 : 426,512 = 426,512 : x
  2. Step 2: Convert to fraction form
    276,201/426,512 = 426,512/x
  3. Step 3: Cross multiply
    276,201x = 426,512 × 426,512
  4. Step 4: Simplify right side
    276,201x = 181,912,486,144
  5. Step 5: Solve for x
    x = 181,912,486,144/276,201
  6. Step 6: Final answer
    x = 658,623.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.