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Finding the Third Proportional to 259,848 and 568,296

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Solution

The third proportional to 259,848 and 568,296 is: 1,242,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,848 : 568,296 = 568,296 : x
  2. Step 2: Convert to fraction form
    259,848/568,296 = 568,296/x
  3. Step 3: Cross multiply
    259,848x = 568,296 × 568,296
  4. Step 4: Simplify right side
    259,848x = 322,960,343,616
  5. Step 5: Solve for x
    x = 322,960,343,616/259,848
  6. Step 6: Final answer
    x = 1,242,881.78

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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.