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Finding the Third Proportional to 277,152 and 582,168

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Solution

The third proportional to 277,152 and 582,168 is: 1,222,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,152 : 582,168 = 582,168 : x
  2. Step 2: Convert to fraction form
    277,152/582,168 = 582,168/x
  3. Step 3: Cross multiply
    277,152x = 582,168 × 582,168
  4. Step 4: Simplify right side
    277,152x = 338,919,580,224
  5. Step 5: Solve for x
    x = 338,919,580,224/277,152
  6. Step 6: Final answer
    x = 1,222,865.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.