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Finding the Third Proportional to 254,918 and 560,162

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Solution

The third proportional to 254,918 and 560,162 is: 1,230,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,918 : 560,162 = 560,162 : x
  2. Step 2: Convert to fraction form
    254,918/560,162 = 560,162/x
  3. Step 3: Cross multiply
    254,918x = 560,162 × 560,162
  4. Step 4: Simplify right side
    254,918x = 313,781,466,244
  5. Step 5: Solve for x
    x = 313,781,466,244/254,918
  6. Step 6: Final answer
    x = 1,230,911.38

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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.