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Finding the Third Proportional to 254,556 and 551,016

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Solution

The third proportional to 254,556 and 551,016 is: 1,192,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,556 : 551,016 = 551,016 : x
  2. Step 2: Convert to fraction form
    254,556/551,016 = 551,016/x
  3. Step 3: Cross multiply
    254,556x = 551,016 × 551,016
  4. Step 4: Simplify right side
    254,556x = 303,618,632,256
  5. Step 5: Solve for x
    x = 303,618,632,256/254,556
  6. Step 6: Final answer
    x = 1,192,738.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.