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Finding the Third Proportional to 277,974 and 606,919.50

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Solution

The third proportional to 277,974 and 606,919.50 is: 1,325,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,974 : 606,919.50 = 606,919.50 : x
  2. Step 2: Convert to fraction form
    277,974/606,919.50 = 606,919.50/x
  3. Step 3: Cross multiply
    277,974x = 606,919.50 × 606,919.50
  4. Step 4: Simplify right side
    277,974x = 368,351,279,480.25
  5. Step 5: Solve for x
    x = 368,351,279,480.25/277,974
  6. Step 6: Final answer
    x = 1,325,128.54

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