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Finding the Third Proportional to 277,698 and 605,652

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Solution

The third proportional to 277,698 and 605,652 is: 1,320,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698 : 605,652 = 605,652 : x
  2. Step 2: Convert to fraction form
    277,698/605,652 = 605,652/x
  3. Step 3: Cross multiply
    277,698x = 605,652 × 605,652
  4. Step 4: Simplify right side
    277,698x = 366,814,345,104
  5. Step 5: Solve for x
    x = 366,814,345,104/277,698
  6. Step 6: Final answer
    x = 1,320,911.01

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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.