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Finding the Third Proportional to 319,072,676 and 694,049,992

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Solution

The third proportional to 319,072,676 and 694,049,992 is: 1,509,704,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,072,676 : 694,049,992 = 694,049,992 : x
  2. Step 2: Convert to fraction form
    319,072,676/694,049,992 = 694,049,992/x
  3. Step 3: Cross multiply
    319,072,676x = 694,049,992 × 694,049,992
  4. Step 4: Simplify right side
    319,072,676x = 481,705,391,395,200,064
  5. Step 5: Solve for x
    x = 481,705,391,395,200,064/319,072,676
  6. Step 6: Final answer
    x = 1,509,704,301.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.