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Finding the Third Proportional to 277,923 and 606,693

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Solution

The third proportional to 277,923 and 606,693 is: 1,324,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,923 : 606,693 = 606,693 : x
  2. Step 2: Convert to fraction form
    277,923/606,693 = 606,693/x
  3. Step 3: Cross multiply
    277,923x = 606,693 × 606,693
  4. Step 4: Simplify right side
    277,923x = 368,076,396,249
  5. Step 5: Solve for x
    x = 368,076,396,249/277,923
  6. Step 6: Final answer
    x = 1,324,382.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.