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Finding the Third Proportional to 339,848,249.06 and 731,989,458.56

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Solution

The third proportional to 339,848,249.06 and 731,989,458.56 is: 1,576,611,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,848,249.06 : 731,989,458.56 = 731,989,458.56 : x
  2. Step 2: Convert to fraction form
    339,848,249.06/731,989,458.56 = 731,989,458.56/x
  3. Step 3: Cross multiply
    339,848,249.06x = 731,989,458.56 × 731,989,458.56
  4. Step 4: Simplify right side
    339,848,249.06x = 535,808,567,446,621,888
  5. Step 5: Solve for x
    x = 535,808,567,446,621,888/339,848,249.06
  6. Step 6: Final answer
    x = 1,576,611,234.35

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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.