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Finding the Third Proportional to 277,072 and 605,984

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Solution

The third proportional to 277,072 and 605,984 is: 1,325,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,072 : 605,984 = 605,984 : x
  2. Step 2: Convert to fraction form
    277,072/605,984 = 605,984/x
  3. Step 3: Cross multiply
    277,072x = 605,984 × 605,984
  4. Step 4: Simplify right side
    277,072x = 367,216,608,256
  5. Step 5: Solve for x
    x = 367,216,608,256/277,072
  6. Step 6: Final answer
    x = 1,325,347.23

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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.