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Finding the Third Proportional to 190,512 and 414,888

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Solution

The third proportional to 190,512 and 414,888 is: 903,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,512 : 414,888 = 414,888 : x
  2. Step 2: Convert to fraction form
    190,512/414,888 = 414,888/x
  3. Step 3: Cross multiply
    190,512x = 414,888 × 414,888
  4. Step 4: Simplify right side
    190,512x = 172,132,052,544
  5. Step 5: Solve for x
    x = 172,132,052,544/190,512
  6. Step 6: Final answer
    x = 903,523.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.