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Finding the Third Proportional to 345,192 and 770,736

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Solution

The third proportional to 345,192 and 770,736 is: 1,720,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,192 : 770,736 = 770,736 : x
  2. Step 2: Convert to fraction form
    345,192/770,736 = 770,736/x
  3. Step 3: Cross multiply
    345,192x = 770,736 × 770,736
  4. Step 4: Simplify right side
    345,192x = 594,033,981,696
  5. Step 5: Solve for x
    x = 594,033,981,696/345,192
  6. Step 6: Final answer
    x = 1,720,879.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.