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Finding the Third Proportional to 259,924 and 566,824

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Solution

The third proportional to 259,924 and 566,824 is: 1,236,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,924 : 566,824 = 566,824 : x
  2. Step 2: Convert to fraction form
    259,924/566,824 = 566,824/x
  3. Step 3: Cross multiply
    259,924x = 566,824 × 566,824
  4. Step 4: Simplify right side
    259,924x = 321,289,446,976
  5. Step 5: Solve for x
    x = 321,289,446,976/259,924
  6. Step 6: Final answer
    x = 1,236,089.96

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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.