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Finding the Third Proportional to 306,193 and 664,964

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Solution

The third proportional to 306,193 and 664,964 is: 1,444,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,193 : 664,964 = 664,964 : x
  2. Step 2: Convert to fraction form
    306,193/664,964 = 664,964/x
  3. Step 3: Cross multiply
    306,193x = 664,964 × 664,964
  4. Step 4: Simplify right side
    306,193x = 442,177,121,296
  5. Step 5: Solve for x
    x = 442,177,121,296/306,193
  6. Step 6: Final answer
    x = 1,444,112.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.