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Finding the Third Proportional to 300,723 and 626,247

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Solution

The third proportional to 300,723 and 626,247 is: 1,304,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,723 : 626,247 = 626,247 : x
  2. Step 2: Convert to fraction form
    300,723/626,247 = 626,247/x
  3. Step 3: Cross multiply
    300,723x = 626,247 × 626,247
  4. Step 4: Simplify right side
    300,723x = 392,185,305,009
  5. Step 5: Solve for x
    x = 392,185,305,009/300,723
  6. Step 6: Final answer
    x = 1,304,141.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.