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Finding the Third Proportional to 265,976 and 568,816

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Solution

The third proportional to 265,976 and 568,816 is: 1,216,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,976 : 568,816 = 568,816 : x
  2. Step 2: Convert to fraction form
    265,976/568,816 = 568,816/x
  3. Step 3: Cross multiply
    265,976x = 568,816 × 568,816
  4. Step 4: Simplify right side
    265,976x = 323,551,641,856
  5. Step 5: Solve for x
    x = 323,551,641,856/265,976
  6. Step 6: Final answer
    x = 1,216,469.31

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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.