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Finding the Third Proportional to 259,436 and 568,080

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Solution

The third proportional to 259,436 and 568,080 is: 1,243,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,436 : 568,080 = 568,080 : x
  2. Step 2: Convert to fraction form
    259,436/568,080 = 568,080/x
  3. Step 3: Cross multiply
    259,436x = 568,080 × 568,080
  4. Step 4: Simplify right side
    259,436x = 322,714,886,400
  5. Step 5: Solve for x
    x = 322,714,886,400/259,436
  6. Step 6: Final answer
    x = 1,243,909.43

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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.