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Finding the Third Proportional to 276,781 and 451,953

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Solution

The third proportional to 276,781 and 451,953 is: 737,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,781 : 451,953 = 451,953 : x
  2. Step 2: Convert to fraction form
    276,781/451,953 = 451,953/x
  3. Step 3: Cross multiply
    276,781x = 451,953 × 451,953
  4. Step 4: Simplify right side
    276,781x = 204,261,514,209
  5. Step 5: Solve for x
    x = 204,261,514,209/276,781
  6. Step 6: Final answer
    x = 737,989.65

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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.