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Finding the Third Proportional to 434,458.69 and 664,620.19

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Solution

The third proportional to 434,458.69 and 664,620.19 is: 1,016,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,458.69 : 664,620.19 = 664,620.19 : x
  2. Step 2: Convert to fraction form
    434,458.69/664,620.19 = 664,620.19/x
  3. Step 3: Cross multiply
    434,458.69x = 664,620.19 × 664,620.19
  4. Step 4: Simplify right side
    434,458.69x = 441,719,993,632.54
  5. Step 5: Solve for x
    x = 441,719,993,632.54/434,458.69
  6. Step 6: Final answer
    x = 1,016,713.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.