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Finding the Third Proportional to 259,408 and 568,023

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Solution

The third proportional to 259,408 and 568,023 is: 1,243,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408 : 568,023 = 568,023 : x
  2. Step 2: Convert to fraction form
    259,408/568,023 = 568,023/x
  3. Step 3: Cross multiply
    259,408x = 568,023 × 568,023
  4. Step 4: Simplify right side
    259,408x = 322,650,128,529
  5. Step 5: Solve for x
    x = 322,650,128,529/259,408
  6. Step 6: Final answer
    x = 1,243,794.06

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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.