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Finding the Third Proportional to 414,687 and 659,392.50

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Solution

The third proportional to 414,687 and 659,392.50 is: 1,048,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687 : 659,392.50 = 659,392.50 : x
  2. Step 2: Convert to fraction form
    414,687/659,392.50 = 659,392.50/x
  3. Step 3: Cross multiply
    414,687x = 659,392.50 × 659,392.50
  4. Step 4: Simplify right side
    414,687x = 434,798,469,056.25
  5. Step 5: Solve for x
    x = 434,798,469,056.25/414,687
  6. Step 6: Final answer
    x = 1,048,497.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.