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Finding the Third Proportional to 196,624.49 and 430,764.96

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Solution

The third proportional to 196,624.49 and 430,764.96 is: 943,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,624.49 : 430,764.96 = 430,764.96 : x
  2. Step 2: Convert to fraction form
    196,624.49/430,764.96 = 430,764.96/x
  3. Step 3: Cross multiply
    196,624.49x = 430,764.96 × 430,764.96
  4. Step 4: Simplify right side
    196,624.49x = 185,558,451,571.49
  5. Step 5: Solve for x
    x = 185,558,451,571.49/196,624.49
  6. Step 6: Final answer
    x = 943,719.92

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