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Finding the Third Proportional to 479,162 and 741,827

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Solution

The third proportional to 479,162 and 741,827 is: 1,148,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,162 : 741,827 = 741,827 : x
  2. Step 2: Convert to fraction form
    479,162/741,827 = 741,827/x
  3. Step 3: Cross multiply
    479,162x = 741,827 × 741,827
  4. Step 4: Simplify right side
    479,162x = 550,307,297,929
  5. Step 5: Solve for x
    x = 550,307,297,929/479,162
  6. Step 6: Final answer
    x = 1,148,478.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.