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Finding the Third Proportional to 339,848,269.31 and 731,989,499.06

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Solution

The third proportional to 339,848,269.31 and 731,989,499.06 is: 1,576,611,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,848,269.31 : 731,989,499.06 = 731,989,499.06 : x
  2. Step 2: Convert to fraction form
    339,848,269.31/731,989,499.06 = 731,989,499.06/x
  3. Step 3: Cross multiply
    339,848,269.31x = 731,989,499.06 × 731,989,499.06
  4. Step 4: Simplify right side
    339,848,269.31x = 535,808,626,737,769,664
  5. Step 5: Solve for x
    x = 535,808,626,737,769,664/339,848,269.31
  6. Step 6: Final answer
    x = 1,576,611,314.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.