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Finding the Third Proportional to 332,343,366 and 769,314,717

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Solution

The third proportional to 332,343,366 and 769,314,717 is: 1,780,824,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,366 : 769,314,717 = 769,314,717 : x
  2. Step 2: Convert to fraction form
    332,343,366/769,314,717 = 769,314,717/x
  3. Step 3: Cross multiply
    332,343,366x = 769,314,717 × 769,314,717
  4. Step 4: Simplify right side
    332,343,366x = 591,845,133,792,790,144
  5. Step 5: Solve for x
    x = 591,845,133,792,790,144/332,343,366
  6. Step 6: Final answer
    x = 1,780,824,274.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.