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Finding the Third Proportional to 277,538 and 654,949

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Solution

The third proportional to 277,538 and 654,949 is: 1,545,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,538 : 654,949 = 654,949 : x
  2. Step 2: Convert to fraction form
    277,538/654,949 = 654,949/x
  3. Step 3: Cross multiply
    277,538x = 654,949 × 654,949
  4. Step 4: Simplify right side
    277,538x = 428,958,192,601
  5. Step 5: Solve for x
    x = 428,958,192,601/277,538
  6. Step 6: Final answer
    x = 1,545,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.