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Finding the Third Proportional to 326,168 and 518,900

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Solution

The third proportional to 326,168 and 518,900 is: 825,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,168 : 518,900 = 518,900 : x
  2. Step 2: Convert to fraction form
    326,168/518,900 = 518,900/x
  3. Step 3: Cross multiply
    326,168x = 518,900 × 518,900
  4. Step 4: Simplify right side
    326,168x = 269,257,210,000
  5. Step 5: Solve for x
    x = 269,257,210,000/326,168
  6. Step 6: Final answer
    x = 825,516.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.