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Finding the Third Proportional to 230,371 and 479,133

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Solution

The third proportional to 230,371 and 479,133 is: 996,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,371 : 479,133 = 479,133 : x
  2. Step 2: Convert to fraction form
    230,371/479,133 = 479,133/x
  3. Step 3: Cross multiply
    230,371x = 479,133 × 479,133
  4. Step 4: Simplify right side
    230,371x = 229,568,431,689
  5. Step 5: Solve for x
    x = 229,568,431,689/230,371
  6. Step 6: Final answer
    x = 996,516.19

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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.