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Finding the Third Proportional to 260,204 and 568,034

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Solution

The third proportional to 260,204 and 568,034 is: 1,240,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,204 : 568,034 = 568,034 : x
  2. Step 2: Convert to fraction form
    260,204/568,034 = 568,034/x
  3. Step 3: Cross multiply
    260,204x = 568,034 × 568,034
  4. Step 4: Simplify right side
    260,204x = 322,662,625,156
  5. Step 5: Solve for x
    x = 322,662,625,156/260,204
  6. Step 6: Final answer
    x = 1,240,037.14

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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.