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Finding the Third Proportional to 190,031 and 412,917

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Solution

The third proportional to 190,031 and 412,917 is: 897,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,031 : 412,917 = 412,917 : x
  2. Step 2: Convert to fraction form
    190,031/412,917 = 412,917/x
  3. Step 3: Cross multiply
    190,031x = 412,917 × 412,917
  4. Step 4: Simplify right side
    190,031x = 170,500,448,889
  5. Step 5: Solve for x
    x = 170,500,448,889/190,031
  6. Step 6: Final answer
    x = 897,224.39

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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.