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Finding the Third Proportional to 413,001 and 848,234

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Solution

The third proportional to 413,001 and 848,234 is: 1,742,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,001 : 848,234 = 848,234 : x
  2. Step 2: Convert to fraction form
    413,001/848,234 = 848,234/x
  3. Step 3: Cross multiply
    413,001x = 848,234 × 848,234
  4. Step 4: Simplify right side
    413,001x = 719,500,918,756
  5. Step 5: Solve for x
    x = 719,500,918,756/413,001
  6. Step 6: Final answer
    x = 1,742,128.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.