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Finding the Third Proportional to 195,660 and 428,832

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Solution

The third proportional to 195,660 and 428,832 is: 939,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,660 : 428,832 = 428,832 : x
  2. Step 2: Convert to fraction form
    195,660/428,832 = 428,832/x
  3. Step 3: Cross multiply
    195,660x = 428,832 × 428,832
  4. Step 4: Simplify right side
    195,660x = 183,896,884,224
  5. Step 5: Solve for x
    x = 183,896,884,224/195,660
  6. Step 6: Final answer
    x = 939,879.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.