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Finding the Third Proportional to 260,579 and 565,992

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Solution

The third proportional to 260,579 and 565,992 is: 1,229,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,579 : 565,992 = 565,992 : x
  2. Step 2: Convert to fraction form
    260,579/565,992 = 565,992/x
  3. Step 3: Cross multiply
    260,579x = 565,992 × 565,992
  4. Step 4: Simplify right side
    260,579x = 320,346,944,064
  5. Step 5: Solve for x
    x = 320,346,944,064/260,579
  6. Step 6: Final answer
    x = 1,229,365.93

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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.