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Finding the Third Proportional to 297,851 and 648,238

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Solution

The third proportional to 297,851 and 648,238 is: 1,410,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,851 : 648,238 = 648,238 : x
  2. Step 2: Convert to fraction form
    297,851/648,238 = 648,238/x
  3. Step 3: Cross multiply
    297,851x = 648,238 × 648,238
  4. Step 4: Simplify right side
    297,851x = 420,212,504,644
  5. Step 5: Solve for x
    x = 420,212,504,644/297,851
  6. Step 6: Final answer
    x = 1,410,814.48

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Why These Related Problems?

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