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Finding the Third Proportional to 296,796 and 659,976

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Solution

The third proportional to 296,796 and 659,976 is: 1,467,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,796 : 659,976 = 659,976 : x
  2. Step 2: Convert to fraction form
    296,796/659,976 = 659,976/x
  3. Step 3: Cross multiply
    296,796x = 659,976 × 659,976
  4. Step 4: Simplify right side
    296,796x = 435,568,320,576
  5. Step 5: Solve for x
    x = 435,568,320,576/296,796
  6. Step 6: Final answer
    x = 1,467,568.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.