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Finding the Third Proportional to 263,296 and 376,248

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Solution

The third proportional to 263,296 and 376,248 is: 537,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,296 : 376,248 = 376,248 : x
  2. Step 2: Convert to fraction form
    263,296/376,248 = 376,248/x
  3. Step 3: Cross multiply
    263,296x = 376,248 × 376,248
  4. Step 4: Simplify right side
    263,296x = 141,562,557,504
  5. Step 5: Solve for x
    x = 141,562,557,504/263,296
  6. Step 6: Final answer
    x = 537,655.56

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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.