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Finding the Third Proportional to 276,204 and 418,042

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Solution

The third proportional to 276,204 and 418,042 is: 632,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,204 : 418,042 = 418,042 : x
  2. Step 2: Convert to fraction form
    276,204/418,042 = 418,042/x
  3. Step 3: Cross multiply
    276,204x = 418,042 × 418,042
  4. Step 4: Simplify right side
    276,204x = 174,759,113,764
  5. Step 5: Solve for x
    x = 174,759,113,764/276,204
  6. Step 6: Final answer
    x = 632,717.53

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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.