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Finding the Third Proportional to 262,324 and 396,606

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Solution

The third proportional to 262,324 and 396,606 is: 599,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,324 : 396,606 = 396,606 : x
  2. Step 2: Convert to fraction form
    262,324/396,606 = 396,606/x
  3. Step 3: Cross multiply
    262,324x = 396,606 × 396,606
  4. Step 4: Simplify right side
    262,324x = 157,296,319,236
  5. Step 5: Solve for x
    x = 157,296,319,236/262,324
  6. Step 6: Final answer
    x = 599,626.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.