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Finding the Third Proportional to 262,441.69 and 541,446.19

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Solution

The third proportional to 262,441.69 and 541,446.19 is: 1,117,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,441.69 : 541,446.19 = 541,446.19 : x
  2. Step 2: Convert to fraction form
    262,441.69/541,446.19 = 541,446.19/x
  3. Step 3: Cross multiply
    262,441.69x = 541,446.19 × 541,446.19
  4. Step 4: Simplify right side
    262,441.69x = 293,163,973,958.29
  5. Step 5: Solve for x
    x = 293,163,973,958.29/262,441.69
  6. Step 6: Final answer
    x = 1,117,063.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.