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Finding the Third Proportional to 354,978 and 772,150

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Solution

The third proportional to 354,978 and 772,150 is: 1,679,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,978 : 772,150 = 772,150 : x
  2. Step 2: Convert to fraction form
    354,978/772,150 = 772,150/x
  3. Step 3: Cross multiply
    354,978x = 772,150 × 772,150
  4. Step 4: Simplify right side
    354,978x = 596,215,622,500
  5. Step 5: Solve for x
    x = 596,215,622,500/354,978
  6. Step 6: Final answer
    x = 1,679,584.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.