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Finding the Third Proportional to 277,170 and 598,692

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Solution

The third proportional to 277,170 and 598,692 is: 1,293,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,170 : 598,692 = 598,692 : x
  2. Step 2: Convert to fraction form
    277,170/598,692 = 598,692/x
  3. Step 3: Cross multiply
    277,170x = 598,692 × 598,692
  4. Step 4: Simplify right side
    277,170x = 358,432,110,864
  5. Step 5: Solve for x
    x = 358,432,110,864/277,170
  6. Step 6: Final answer
    x = 1,293,185.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.