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Finding the Third Proportional to 293,608 and 408,536

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Solution

The third proportional to 293,608 and 408,536 is: 568,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,608 : 408,536 = 408,536 : x
  2. Step 2: Convert to fraction form
    293,608/408,536 = 408,536/x
  3. Step 3: Cross multiply
    293,608x = 408,536 × 408,536
  4. Step 4: Simplify right side
    293,608x = 166,901,663,296
  5. Step 5: Solve for x
    x = 166,901,663,296/293,608
  6. Step 6: Final answer
    x = 568,450.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.