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Finding the Third Proportional to 300,980 and 626,870

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Solution

The third proportional to 300,980 and 626,870 is: 1,305,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,980 : 626,870 = 626,870 : x
  2. Step 2: Convert to fraction form
    300,980/626,870 = 626,870/x
  3. Step 3: Cross multiply
    300,980x = 626,870 × 626,870
  4. Step 4: Simplify right side
    300,980x = 392,965,996,900
  5. Step 5: Solve for x
    x = 392,965,996,900/300,980
  6. Step 6: Final answer
    x = 1,305,621.63

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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.