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Finding the Third Proportional to 276,203 and 426,515

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Solution

The third proportional to 276,203 and 426,515 is: 658,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,203 : 426,515 = 426,515 : x
  2. Step 2: Convert to fraction form
    276,203/426,515 = 426,515/x
  3. Step 3: Cross multiply
    276,203x = 426,515 × 426,515
  4. Step 4: Simplify right side
    276,203x = 181,915,045,225
  5. Step 5: Solve for x
    x = 181,915,045,225/276,203
  6. Step 6: Final answer
    x = 658,628.06

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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.