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Finding the Third Proportional to 263,356 and 376,334

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Solution

The third proportional to 263,356 and 376,334 is: 537,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,356 : 376,334 = 376,334 : x
  2. Step 2: Convert to fraction form
    263,356/376,334 = 376,334/x
  3. Step 3: Cross multiply
    263,356x = 376,334 × 376,334
  4. Step 4: Simplify right side
    263,356x = 141,627,279,556
  5. Step 5: Solve for x
    x = 141,627,279,556/263,356
  6. Step 6: Final answer
    x = 537,778.82

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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.