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Finding the Third Proportional to 234,678 and 504,738

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Solution

The third proportional to 234,678 and 504,738 is: 1,085,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,678 : 504,738 = 504,738 : x
  2. Step 2: Convert to fraction form
    234,678/504,738 = 504,738/x
  3. Step 3: Cross multiply
    234,678x = 504,738 × 504,738
  4. Step 4: Simplify right side
    234,678x = 254,760,448,644
  5. Step 5: Solve for x
    x = 254,760,448,644/234,678
  6. Step 6: Final answer
    x = 1,085,574.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.