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Finding the Third Proportional to 350,674 and 496,197

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Solution

The third proportional to 350,674 and 496,197 is: 702,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,674 : 496,197 = 496,197 : x
  2. Step 2: Convert to fraction form
    350,674/496,197 = 496,197/x
  3. Step 3: Cross multiply
    350,674x = 496,197 × 496,197
  4. Step 4: Simplify right side
    350,674x = 246,211,462,809
  5. Step 5: Solve for x
    x = 246,211,462,809/350,674
  6. Step 6: Final answer
    x = 702,109.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.