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Finding the Third Proportional to 276,974 and 452,230

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Solution

The third proportional to 276,974 and 452,230 is: 738,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,974 : 452,230 = 452,230 : x
  2. Step 2: Convert to fraction form
    276,974/452,230 = 452,230/x
  3. Step 3: Cross multiply
    276,974x = 452,230 × 452,230
  4. Step 4: Simplify right side
    276,974x = 204,511,972,900
  5. Step 5: Solve for x
    x = 204,511,972,900/276,974
  6. Step 6: Final answer
    x = 738,379.68

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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.