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Finding the Third Proportional to 297,906 and 648,336

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Solution

The third proportional to 297,906 and 648,336 is: 1,410,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,906 : 648,336 = 648,336 : x
  2. Step 2: Convert to fraction form
    297,906/648,336 = 648,336/x
  3. Step 3: Cross multiply
    297,906x = 648,336 × 648,336
  4. Step 4: Simplify right side
    297,906x = 420,339,568,896
  5. Step 5: Solve for x
    x = 420,339,568,896/297,906
  6. Step 6: Final answer
    x = 1,410,980.54

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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.