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Finding the Third Proportional to 265,997 and 568,858

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Solution

The third proportional to 265,997 and 568,858 is: 1,216,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,997 : 568,858 = 568,858 : x
  2. Step 2: Convert to fraction form
    265,997/568,858 = 568,858/x
  3. Step 3: Cross multiply
    265,997x = 568,858 × 568,858
  4. Step 4: Simplify right side
    265,997x = 323,599,424,164
  5. Step 5: Solve for x
    x = 323,599,424,164/265,997
  6. Step 6: Final answer
    x = 1,216,552.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.