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Finding the Third Proportional to 329,412 and 770,250

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Solution

The third proportional to 329,412 and 770,250 is: 1,801,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,412 : 770,250 = 770,250 : x
  2. Step 2: Convert to fraction form
    329,412/770,250 = 770,250/x
  3. Step 3: Cross multiply
    329,412x = 770,250 × 770,250
  4. Step 4: Simplify right side
    329,412x = 593,285,062,500
  5. Step 5: Solve for x
    x = 593,285,062,500/329,412
  6. Step 6: Final answer
    x = 1,801,042.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.