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Finding the Third Proportional to 277,738.88 and 414,786.38

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Solution

The third proportional to 277,738.88 and 414,786.38 is: 619,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.88 : 414,786.38 = 414,786.38 : x
  2. Step 2: Convert to fraction form
    277,738.88/414,786.38 = 414,786.38/x
  3. Step 3: Cross multiply
    277,738.88x = 414,786.38 × 414,786.38
  4. Step 4: Simplify right side
    277,738.88x = 172,047,736,885.64
  5. Step 5: Solve for x
    x = 172,047,736,885.64/277,738.88
  6. Step 6: Final answer
    x = 619,458.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.