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Finding the Third Proportional to 276,961 and 452,211

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Solution

The third proportional to 276,961 and 452,211 is: 738,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,961 : 452,211 = 452,211 : x
  2. Step 2: Convert to fraction form
    276,961/452,211 = 452,211/x
  3. Step 3: Cross multiply
    276,961x = 452,211 × 452,211
  4. Step 4: Simplify right side
    276,961x = 204,494,788,521
  5. Step 5: Solve for x
    x = 204,494,788,521/276,961
  6. Step 6: Final answer
    x = 738,352.29

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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.