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Finding the Third Proportional to 263,314 and 376,278

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Solution

The third proportional to 263,314 and 376,278 is: 537,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,314 : 376,278 = 376,278 : x
  2. Step 2: Convert to fraction form
    263,314/376,278 = 376,278/x
  3. Step 3: Cross multiply
    263,314x = 376,278 × 376,278
  4. Step 4: Simplify right side
    263,314x = 141,585,133,284
  5. Step 5: Solve for x
    x = 141,585,133,284/263,314
  6. Step 6: Final answer
    x = 537,704.54

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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.