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Finding the Third Proportional to 263,419 and 568,956

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Solution

The third proportional to 263,419 and 568,956 is: 1,228,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,419 : 568,956 = 568,956 : x
  2. Step 2: Convert to fraction form
    263,419/568,956 = 568,956/x
  3. Step 3: Cross multiply
    263,419x = 568,956 × 568,956
  4. Step 4: Simplify right side
    263,419x = 323,710,929,936
  5. Step 5: Solve for x
    x = 323,710,929,936/263,419
  6. Step 6: Final answer
    x = 1,228,882.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.