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Finding the Third Proportional to 263,908 and 568,636

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Solution

The third proportional to 263,908 and 568,636 is: 1,225,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,908 : 568,636 = 568,636 : x
  2. Step 2: Convert to fraction form
    263,908/568,636 = 568,636/x
  3. Step 3: Cross multiply
    263,908x = 568,636 × 568,636
  4. Step 4: Simplify right side
    263,908x = 323,346,900,496
  5. Step 5: Solve for x
    x = 323,346,900,496/263,908
  6. Step 6: Final answer
    x = 1,225,225.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.