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Finding the Third Proportional to 304,307,706 and 647,966,828

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Solution

The third proportional to 304,307,706 and 647,966,828 is: 1,379,725,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,307,706 : 647,966,828 = 647,966,828 : x
  2. Step 2: Convert to fraction form
    304,307,706/647,966,828 = 647,966,828/x
  3. Step 3: Cross multiply
    304,307,706x = 647,966,828 × 647,966,828
  4. Step 4: Simplify right side
    304,307,706x = 419,861,010,188,381,568
  5. Step 5: Solve for x
    x = 419,861,010,188,381,568/304,307,706
  6. Step 6: Final answer
    x = 1,379,725,198.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.