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Finding the Third Proportional to 277,065 and 605,970

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Solution

The third proportional to 277,065 and 605,970 is: 1,325,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,065 : 605,970 = 605,970 : x
  2. Step 2: Convert to fraction form
    277,065/605,970 = 605,970/x
  3. Step 3: Cross multiply
    277,065x = 605,970 × 605,970
  4. Step 4: Simplify right side
    277,065x = 367,199,640,900
  5. Step 5: Solve for x
    x = 367,199,640,900/277,065
  6. Step 6: Final answer
    x = 1,325,319.48

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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.