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Finding the Third Proportional to 260,668 and 567,990

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Solution

The third proportional to 260,668 and 567,990 is: 1,237,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,668 : 567,990 = 567,990 : x
  2. Step 2: Convert to fraction form
    260,668/567,990 = 567,990/x
  3. Step 3: Cross multiply
    260,668x = 567,990 × 567,990
  4. Step 4: Simplify right side
    260,668x = 322,612,640,100
  5. Step 5: Solve for x
    x = 322,612,640,100/260,668
  6. Step 6: Final answer
    x = 1,237,638.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.