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Finding the Third Proportional to 263,262 and 376,204

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Solution

The third proportional to 263,262 and 376,204 is: 537,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262 : 376,204 = 376,204 : x
  2. Step 2: Convert to fraction form
    263,262/376,204 = 376,204/x
  3. Step 3: Cross multiply
    263,262x = 376,204 × 376,204
  4. Step 4: Simplify right side
    263,262x = 141,529,449,616
  5. Step 5: Solve for x
    x = 141,529,449,616/263,262
  6. Step 6: Final answer
    x = 537,599.23

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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.