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Finding the Third Proportional to 254,595 and 560,019

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Solution

The third proportional to 254,595 and 560,019 is: 1,231,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,595 : 560,019 = 560,019 : x
  2. Step 2: Convert to fraction form
    254,595/560,019 = 560,019/x
  3. Step 3: Cross multiply
    254,595x = 560,019 × 560,019
  4. Step 4: Simplify right side
    254,595x = 313,621,280,361
  5. Step 5: Solve for x
    x = 313,621,280,361/254,595
  6. Step 6: Final answer
    x = 1,231,843.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.