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Finding the Third Proportional to 339,245,871.75 and 738,563,708.25

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Solution

The third proportional to 339,245,871.75 and 738,563,708.25 is: 1,607,908,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,245,871.75 : 738,563,708.25 = 738,563,708.25 : x
  2. Step 2: Convert to fraction form
    339,245,871.75/738,563,708.25 = 738,563,708.25/x
  3. Step 3: Cross multiply
    339,245,871.75x = 738,563,708.25 × 738,563,708.25
  4. Step 4: Simplify right side
    339,245,871.75x = 545,476,351,143,991,104
  5. Step 5: Solve for x
    x = 545,476,351,143,991,104/339,245,871.75
  6. Step 6: Final answer
    x = 1,607,908,589.51

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Why These Related Problems?

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