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Finding the Third Proportional to 127,777 and 277,856

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Solution

The third proportional to 127,777 and 277,856 is: 604,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,777 : 277,856 = 277,856 : x
  2. Step 2: Convert to fraction form
    127,777/277,856 = 277,856/x
  3. Step 3: Cross multiply
    127,777x = 277,856 × 277,856
  4. Step 4: Simplify right side
    127,777x = 77,203,956,736
  5. Step 5: Solve for x
    x = 77,203,956,736/127,777
  6. Step 6: Final answer
    x = 604,208.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.