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Finding the Third Proportional to 276,966 and 452,217

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Solution

The third proportional to 276,966 and 452,217 is: 738,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,966 : 452,217 = 452,217 : x
  2. Step 2: Convert to fraction form
    276,966/452,217 = 452,217/x
  3. Step 3: Cross multiply
    276,966x = 452,217 × 452,217
  4. Step 4: Simplify right side
    276,966x = 204,500,215,089
  5. Step 5: Solve for x
    x = 204,500,215,089/276,966
  6. Step 6: Final answer
    x = 738,358.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.