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Finding the Third Proportional to 196,939 and 433,244

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Solution

The third proportional to 196,939 and 433,244 is: 953,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,939 : 433,244 = 433,244 : x
  2. Step 2: Convert to fraction form
    196,939/433,244 = 433,244/x
  3. Step 3: Cross multiply
    196,939x = 433,244 × 433,244
  4. Step 4: Simplify right side
    196,939x = 187,700,363,536
  5. Step 5: Solve for x
    x = 187,700,363,536/196,939
  6. Step 6: Final answer
    x = 953,088.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.