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Finding the Third Proportional to 298,838 and 641,962

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Solution

The third proportional to 298,838 and 641,962 is: 1,379,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,838 : 641,962 = 641,962 : x
  2. Step 2: Convert to fraction form
    298,838/641,962 = 641,962/x
  3. Step 3: Cross multiply
    298,838x = 641,962 × 641,962
  4. Step 4: Simplify right side
    298,838x = 412,115,209,444
  5. Step 5: Solve for x
    x = 412,115,209,444/298,838
  6. Step 6: Final answer
    x = 1,379,058.92

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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.