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Finding the Third Proportional to 277,504 and 654,864

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Solution

The third proportional to 277,504 and 654,864 is: 1,545,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,504 : 654,864 = 654,864 : x
  2. Step 2: Convert to fraction form
    277,504/654,864 = 654,864/x
  3. Step 3: Cross multiply
    277,504x = 654,864 × 654,864
  4. Step 4: Simplify right side
    277,504x = 428,846,858,496
  5. Step 5: Solve for x
    x = 428,846,858,496/277,504
  6. Step 6: Final answer
    x = 1,545,371.81

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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.