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Finding the Third Proportional to 360,907,405 and 773,612,311

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Solution

The third proportional to 360,907,405 and 773,612,311 is: 1,658,253,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,405 : 773,612,311 = 773,612,311 : x
  2. Step 2: Convert to fraction form
    360,907,405/773,612,311 = 773,612,311/x
  3. Step 3: Cross multiply
    360,907,405x = 773,612,311 × 773,612,311
  4. Step 4: Simplify right side
    360,907,405x = 598,476,007,730,760,704
  5. Step 5: Solve for x
    x = 598,476,007,730,760,704/360,907,405
  6. Step 6: Final answer
    x = 1,658,253,611.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.