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Finding the Third Proportional to 297,873 and 648,162

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Solution

The third proportional to 297,873 and 648,162 is: 1,410,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,873 : 648,162 = 648,162 : x
  2. Step 2: Convert to fraction form
    297,873/648,162 = 648,162/x
  3. Step 3: Cross multiply
    297,873x = 648,162 × 648,162
  4. Step 4: Simplify right side
    297,873x = 420,113,978,244
  5. Step 5: Solve for x
    x = 420,113,978,244/297,873
  6. Step 6: Final answer
    x = 1,410,379.52

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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.