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Finding the Third Proportional to 259,411 and 568,029

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Solution

The third proportional to 259,411 and 568,029 is: 1,243,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,411 : 568,029 = 568,029 : x
  2. Step 2: Convert to fraction form
    259,411/568,029 = 568,029/x
  3. Step 3: Cross multiply
    259,411x = 568,029 × 568,029
  4. Step 4: Simplify right side
    259,411x = 322,656,944,841
  5. Step 5: Solve for x
    x = 322,656,944,841/259,411
  6. Step 6: Final answer
    x = 1,243,805.95

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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.