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Finding the Third Proportional to 304,307,704 and 647,966,824

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Solution

The third proportional to 304,307,704 and 647,966,824 is: 1,379,725,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,307,704 : 647,966,824 = 647,966,824 : x
  2. Step 2: Convert to fraction form
    304,307,704/647,966,824 = 647,966,824/x
  3. Step 3: Cross multiply
    304,307,704x = 647,966,824 × 647,966,824
  4. Step 4: Simplify right side
    304,307,704x = 419,861,005,004,646,976
  5. Step 5: Solve for x
    x = 419,861,005,004,646,976/304,307,704
  6. Step 6: Final answer
    x = 1,379,725,190.94

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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.