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Finding the Third Proportional to 291,874 and 641,212

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Solution

The third proportional to 291,874 and 641,212 is: 1,408,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,874 : 641,212 = 641,212 : x
  2. Step 2: Convert to fraction form
    291,874/641,212 = 641,212/x
  3. Step 3: Cross multiply
    291,874x = 641,212 × 641,212
  4. Step 4: Simplify right side
    291,874x = 411,152,828,944
  5. Step 5: Solve for x
    x = 411,152,828,944/291,874
  6. Step 6: Final answer
    x = 1,408,665.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.