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Finding the Third Proportional to 297,965.25 and 649,134

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Solution

The third proportional to 297,965.25 and 649,134 is: 1,414,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,965.25 : 649,134 = 649,134 : x
  2. Step 2: Convert to fraction form
    297,965.25/649,134 = 649,134/x
  3. Step 3: Cross multiply
    297,965.25x = 649,134 × 649,134
  4. Step 4: Simplify right side
    297,965.25x = 421,374,949,956
  5. Step 5: Solve for x
    x = 421,374,949,956/297,965.25
  6. Step 6: Final answer
    x = 1,414,174.81

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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.