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Finding the Third Proportional to 276,214 and 601,634

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Solution

The third proportional to 276,214 and 601,634 is: 1,310,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,214 : 601,634 = 601,634 : x
  2. Step 2: Convert to fraction form
    276,214/601,634 = 601,634/x
  3. Step 3: Cross multiply
    276,214x = 601,634 × 601,634
  4. Step 4: Simplify right side
    276,214x = 361,963,469,956
  5. Step 5: Solve for x
    x = 361,963,469,956/276,214
  6. Step 6: Final answer
    x = 1,310,445.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.