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Finding the Third Proportional to 339,848,269.31 and 731,989,495.69

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Solution

The third proportional to 339,848,269.31 and 731,989,495.69 is: 1,576,611,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,848,269.31 : 731,989,495.69 = 731,989,495.69 : x
  2. Step 2: Convert to fraction form
    339,848,269.31/731,989,495.69 = 731,989,495.69/x
  3. Step 3: Cross multiply
    339,848,269.31x = 731,989,495.69 × 731,989,495.69
  4. Step 4: Simplify right side
    339,848,269.31x = 535,808,621,796,840,576
  5. Step 5: Solve for x
    x = 535,808,621,796,840,576/339,848,269.31
  6. Step 6: Final answer
    x = 1,576,611,300.33

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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.