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Finding the Third Proportional to 300,986 and 626,884

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Solution

The third proportional to 300,986 and 626,884 is: 1,305,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,986 : 626,884 = 626,884 : x
  2. Step 2: Convert to fraction form
    300,986/626,884 = 626,884/x
  3. Step 3: Cross multiply
    300,986x = 626,884 × 626,884
  4. Step 4: Simplify right side
    300,986x = 392,983,549,456
  5. Step 5: Solve for x
    x = 392,983,549,456/300,986
  6. Step 6: Final answer
    x = 1,305,653.92

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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.