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Finding the Third Proportional to 259,408 and 568,025

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Solution

The third proportional to 259,408 and 568,025 is: 1,243,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408 : 568,025 = 568,025 : x
  2. Step 2: Convert to fraction form
    259,408/568,025 = 568,025/x
  3. Step 3: Cross multiply
    259,408x = 568,025 × 568,025
  4. Step 4: Simplify right side
    259,408x = 322,652,400,625
  5. Step 5: Solve for x
    x = 322,652,400,625/259,408
  6. Step 6: Final answer
    x = 1,243,802.81

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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.