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Finding the Third Proportional to 263,907 and 569,286

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Solution

The third proportional to 263,907 and 569,286 is: 1,228,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,907 : 569,286 = 569,286 : x
  2. Step 2: Convert to fraction form
    263,907/569,286 = 569,286/x
  3. Step 3: Cross multiply
    263,907x = 569,286 × 569,286
  4. Step 4: Simplify right side
    263,907x = 324,086,549,796
  5. Step 5: Solve for x
    x = 324,086,549,796/263,907
  6. Step 6: Final answer
    x = 1,228,033.17

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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.