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Finding the Third Proportional to 324,126 and 674,244

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Solution

The third proportional to 324,126 and 674,244 is: 1,402,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,126 : 674,244 = 674,244 : x
  2. Step 2: Convert to fraction form
    324,126/674,244 = 674,244/x
  3. Step 3: Cross multiply
    324,126x = 674,244 × 674,244
  4. Step 4: Simplify right side
    324,126x = 454,604,971,536
  5. Step 5: Solve for x
    x = 454,604,971,536/324,126
  6. Step 6: Final answer
    x = 1,402,556.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.