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Finding the Third Proportional to 295,636 and 670,193

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Solution

The third proportional to 295,636 and 670,193 is: 1,519,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,636 : 670,193 = 670,193 : x
  2. Step 2: Convert to fraction form
    295,636/670,193 = 670,193/x
  3. Step 3: Cross multiply
    295,636x = 670,193 × 670,193
  4. Step 4: Simplify right side
    295,636x = 449,158,657,249
  5. Step 5: Solve for x
    x = 449,158,657,249/295,636
  6. Step 6: Final answer
    x = 1,519,296.22

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.