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Finding the Third Proportional to 190,632 and 412,647

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Solution

The third proportional to 190,632 and 412,647 is: 893,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,632 : 412,647 = 412,647 : x
  2. Step 2: Convert to fraction form
    190,632/412,647 = 412,647/x
  3. Step 3: Cross multiply
    190,632x = 412,647 × 412,647
  4. Step 4: Simplify right side
    190,632x = 170,277,546,609
  5. Step 5: Solve for x
    x = 170,277,546,609/190,632
  6. Step 6: Final answer
    x = 893,226.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.