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Finding the Third Proportional to 299,296 and 646,069

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Solution

The third proportional to 299,296 and 646,069 is: 1,394,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,296 : 646,069 = 646,069 : x
  2. Step 2: Convert to fraction form
    299,296/646,069 = 646,069/x
  3. Step 3: Cross multiply
    299,296x = 646,069 × 646,069
  4. Step 4: Simplify right side
    299,296x = 417,405,152,761
  5. Step 5: Solve for x
    x = 417,405,152,761/299,296
  6. Step 6: Final answer
    x = 1,394,623.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.