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Finding the Third Proportional to 299,796 and 445,152

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Solution

The third proportional to 299,796 and 445,152 is: 660,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796 : 445,152 = 445,152 : x
  2. Step 2: Convert to fraction form
    299,796/445,152 = 445,152/x
  3. Step 3: Cross multiply
    299,796x = 445,152 × 445,152
  4. Step 4: Simplify right side
    299,796x = 198,160,303,104
  5. Step 5: Solve for x
    x = 198,160,303,104/299,796
  6. Step 6: Final answer
    x = 660,983.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.