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Finding the Third Proportional to 277,736.91 and 594,838.97

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Solution

The third proportional to 277,736.91 and 594,838.97 is: 1,273,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,736.91 : 594,838.97 = 594,838.97 : x
  2. Step 2: Convert to fraction form
    277,736.91/594,838.97 = 594,838.97/x
  3. Step 3: Cross multiply
    277,736.91x = 594,838.97 × 594,838.97
  4. Step 4: Simplify right side
    277,736.91x = 353,833,398,743.56
  5. Step 5: Solve for x
    x = 353,833,398,743.56/277,736.91
  6. Step 6: Final answer
    x = 1,273,987.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.