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Finding the Third Proportional to 254,976 and 560,288

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Solution

The third proportional to 254,976 and 560,288 is: 1,231,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,976 : 560,288 = 560,288 : x
  2. Step 2: Convert to fraction form
    254,976/560,288 = 560,288/x
  3. Step 3: Cross multiply
    254,976x = 560,288 × 560,288
  4. Step 4: Simplify right side
    254,976x = 313,922,642,944
  5. Step 5: Solve for x
    x = 313,922,642,944/254,976
  6. Step 6: Final answer
    x = 1,231,185.06

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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.