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Finding the Third Proportional to 277,099 and 446,249

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Solution

The third proportional to 277,099 and 446,249 is: 718,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,099 : 446,249 = 446,249 : x
  2. Step 2: Convert to fraction form
    277,099/446,249 = 446,249/x
  3. Step 3: Cross multiply
    277,099x = 446,249 × 446,249
  4. Step 4: Simplify right side
    277,099x = 199,138,170,001
  5. Step 5: Solve for x
    x = 199,138,170,001/277,099
  6. Step 6: Final answer
    x = 718,653.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.