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Finding the Third Proportional to 300,244 and 647,036

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Solution

The third proportional to 300,244 and 647,036 is: 1,394,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,244 : 647,036 = 647,036 : x
  2. Step 2: Convert to fraction form
    300,244/647,036 = 647,036/x
  3. Step 3: Cross multiply
    300,244x = 647,036 × 647,036
  4. Step 4: Simplify right side
    300,244x = 418,655,585,296
  5. Step 5: Solve for x
    x = 418,655,585,296/300,244
  6. Step 6: Final answer
    x = 1,394,384.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.