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Finding the Third Proportional to 195,824 and 428,962

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Solution

The third proportional to 195,824 and 428,962 is: 939,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,824 : 428,962 = 428,962 : x
  2. Step 2: Convert to fraction form
    195,824/428,962 = 428,962/x
  3. Step 3: Cross multiply
    195,824x = 428,962 × 428,962
  4. Step 4: Simplify right side
    195,824x = 184,008,397,444
  5. Step 5: Solve for x
    x = 184,008,397,444/195,824
  6. Step 6: Final answer
    x = 939,662.13

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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.