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Finding the Third Proportional to 259,404 and 568,017

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Solution

The third proportional to 259,404 and 568,017 is: 1,243,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,404 : 568,017 = 568,017 : x
  2. Step 2: Convert to fraction form
    259,404/568,017 = 568,017/x
  3. Step 3: Cross multiply
    259,404x = 568,017 × 568,017
  4. Step 4: Simplify right side
    259,404x = 322,643,312,289
  5. Step 5: Solve for x
    x = 322,643,312,289/259,404
  6. Step 6: Final answer
    x = 1,243,786.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.