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Finding the Third Proportional to 274,208 and 598,240

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Solution

The third proportional to 274,208 and 598,240 is: 1,305,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,208 : 598,240 = 598,240 : x
  2. Step 2: Convert to fraction form
    274,208/598,240 = 598,240/x
  3. Step 3: Cross multiply
    274,208x = 598,240 × 598,240
  4. Step 4: Simplify right side
    274,208x = 357,891,097,600
  5. Step 5: Solve for x
    x = 357,891,097,600/274,208
  6. Step 6: Final answer
    x = 1,305,181.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.