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Finding the Third Proportional to 190,047 and 412,949

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Solution

The third proportional to 190,047 and 412,949 is: 897,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047 : 412,949 = 412,949 : x
  2. Step 2: Convert to fraction form
    190,047/412,949 = 412,949/x
  3. Step 3: Cross multiply
    190,047x = 412,949 × 412,949
  4. Step 4: Simplify right side
    190,047x = 170,526,876,601
  5. Step 5: Solve for x
    x = 170,526,876,601/190,047
  6. Step 6: Final answer
    x = 897,287.92

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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.