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Finding the Third Proportional to 296,797 and 659,978

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Solution

The third proportional to 296,797 and 659,978 is: 1,467,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,797 : 659,978 = 659,978 : x
  2. Step 2: Convert to fraction form
    296,797/659,978 = 659,978/x
  3. Step 3: Cross multiply
    296,797x = 659,978 × 659,978
  4. Step 4: Simplify right side
    296,797x = 435,570,960,484
  5. Step 5: Solve for x
    x = 435,570,960,484/296,797
  6. Step 6: Final answer
    x = 1,467,571.98

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