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Finding the Third Proportional to 298,026 and 581,067

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Solution

The third proportional to 298,026 and 581,067 is: 1,132,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,026 : 581,067 = 581,067 : x
  2. Step 2: Convert to fraction form
    298,026/581,067 = 581,067/x
  3. Step 3: Cross multiply
    298,026x = 581,067 × 581,067
  4. Step 4: Simplify right side
    298,026x = 337,638,858,489
  5. Step 5: Solve for x
    x = 337,638,858,489/298,026
  6. Step 6: Final answer
    x = 1,132,917.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.