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Finding the Third Proportional to 196,443 and 428,868.75

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Solution

The third proportional to 196,443 and 428,868.75 is: 936,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,443 : 428,868.75 = 428,868.75 : x
  2. Step 2: Convert to fraction form
    196,443/428,868.75 = 428,868.75/x
  3. Step 3: Cross multiply
    196,443x = 428,868.75 × 428,868.75
  4. Step 4: Simplify right side
    196,443x = 183,928,404,726.56
  5. Step 5: Solve for x
    x = 183,928,404,726.56/196,443
  6. Step 6: Final answer
    x = 936,294.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.