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Finding the Third Proportional to 277,066 and 605,972

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Solution

The third proportional to 277,066 and 605,972 is: 1,325,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,066 : 605,972 = 605,972 : x
  2. Step 2: Convert to fraction form
    277,066/605,972 = 605,972/x
  3. Step 3: Cross multiply
    277,066x = 605,972 × 605,972
  4. Step 4: Simplify right side
    277,066x = 367,202,064,784
  5. Step 5: Solve for x
    x = 367,202,064,784/277,066
  6. Step 6: Final answer
    x = 1,325,323.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.