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Finding the Third Proportional to 645,104.25 and 967,551.75

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Solution

The third proportional to 645,104.25 and 967,551.75 is: 1,451,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,104.25 : 967,551.75 = 967,551.75 : x
  2. Step 2: Convert to fraction form
    645,104.25/967,551.75 = 967,551.75/x
  3. Step 3: Cross multiply
    645,104.25x = 967,551.75 × 967,551.75
  4. Step 4: Simplify right side
    645,104.25x = 936,156,388,928.06
  5. Step 5: Solve for x
    x = 936,156,388,928.06/645,104.25
  6. Step 6: Final answer
    x = 1,451,170.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.