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Finding the Third Proportional to 260,922 and 566,456

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Solution

The third proportional to 260,922 and 566,456 is: 1,229,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,922 : 566,456 = 566,456 : x
  2. Step 2: Convert to fraction form
    260,922/566,456 = 566,456/x
  3. Step 3: Cross multiply
    260,922x = 566,456 × 566,456
  4. Step 4: Simplify right side
    260,922x = 320,872,399,936
  5. Step 5: Solve for x
    x = 320,872,399,936/260,922
  6. Step 6: Final answer
    x = 1,229,763.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.