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Finding the Third Proportional to 262,926 and 427,176

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Solution

The third proportional to 262,926 and 427,176 is: 694,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,926 : 427,176 = 427,176 : x
  2. Step 2: Convert to fraction form
    262,926/427,176 = 427,176/x
  3. Step 3: Cross multiply
    262,926x = 427,176 × 427,176
  4. Step 4: Simplify right side
    262,926x = 182,479,334,976
  5. Step 5: Solve for x
    x = 182,479,334,976/262,926
  6. Step 6: Final answer
    x = 694,033.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.