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Finding the Third Proportional to 291,897 and 628,824

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Solution

The third proportional to 291,897 and 628,824 is: 1,354,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,897 : 628,824 = 628,824 : x
  2. Step 2: Convert to fraction form
    291,897/628,824 = 628,824/x
  3. Step 3: Cross multiply
    291,897x = 628,824 × 628,824
  4. Step 4: Simplify right side
    291,897x = 395,419,622,976
  5. Step 5: Solve for x
    x = 395,419,622,976/291,897
  6. Step 6: Final answer
    x = 1,354,654.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.