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Finding the Third Proportional to 352,296 and 771,923

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Solution

The third proportional to 352,296 and 771,923 is: 1,691,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,296 : 771,923 = 771,923 : x
  2. Step 2: Convert to fraction form
    352,296/771,923 = 771,923/x
  3. Step 3: Cross multiply
    352,296x = 771,923 × 771,923
  4. Step 4: Simplify right side
    352,296x = 595,865,117,929
  5. Step 5: Solve for x
    x = 595,865,117,929/352,296
  6. Step 6: Final answer
    x = 1,691,376.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.