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Finding the Third Proportional to 425,260 and 685,198

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Solution

The third proportional to 425,260 and 685,198 is: 1,104,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,260 : 685,198 = 685,198 : x
  2. Step 2: Convert to fraction form
    425,260/685,198 = 685,198/x
  3. Step 3: Cross multiply
    425,260x = 685,198 × 685,198
  4. Step 4: Simplify right side
    425,260x = 469,496,299,204
  5. Step 5: Solve for x
    x = 469,496,299,204/425,260
  6. Step 6: Final answer
    x = 1,104,021.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.