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Finding the Third Proportional to 259,930 and 566,836

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Solution

The third proportional to 259,930 and 566,836 is: 1,236,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,930 : 566,836 = 566,836 : x
  2. Step 2: Convert to fraction form
    259,930/566,836 = 566,836/x
  3. Step 3: Cross multiply
    259,930x = 566,836 × 566,836
  4. Step 4: Simplify right side
    259,930x = 321,303,050,896
  5. Step 5: Solve for x
    x = 321,303,050,896/259,930
  6. Step 6: Final answer
    x = 1,236,113.76

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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.