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Finding the Third Proportional to 260,514 and 567,846

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Solution

The third proportional to 260,514 and 567,846 is: 1,237,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,514 : 567,846 = 567,846 : x
  2. Step 2: Convert to fraction form
    260,514/567,846 = 567,846/x
  3. Step 3: Cross multiply
    260,514x = 567,846 × 567,846
  4. Step 4: Simplify right side
    260,514x = 322,449,079,716
  5. Step 5: Solve for x
    x = 322,449,079,716/260,514
  6. Step 6: Final answer
    x = 1,237,741.85

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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.