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Finding the Third Proportional to 299,446 and 649,268

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Solution

The third proportional to 299,446 and 649,268 is: 1,407,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,446 : 649,268 = 649,268 : x
  2. Step 2: Convert to fraction form
    299,446/649,268 = 649,268/x
  3. Step 3: Cross multiply
    299,446x = 649,268 × 649,268
  4. Step 4: Simplify right side
    299,446x = 421,548,935,824
  5. Step 5: Solve for x
    x = 421,548,935,824/299,446
  6. Step 6: Final answer
    x = 1,407,762.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.