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Finding the Third Proportional to 263,274 and 376,218

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Solution

The third proportional to 263,274 and 376,218 is: 537,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,274 : 376,218 = 376,218 : x
  2. Step 2: Convert to fraction form
    263,274/376,218 = 376,218/x
  3. Step 3: Cross multiply
    263,274x = 376,218 × 376,218
  4. Step 4: Simplify right side
    263,274x = 141,539,983,524
  5. Step 5: Solve for x
    x = 141,539,983,524/263,274
  6. Step 6: Final answer
    x = 537,614.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.