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Finding the Third Proportional to 442,671.75 and 964,176.75

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Solution

The third proportional to 442,671.75 and 964,176.75 is: 2,100,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,671.75 : 964,176.75 = 964,176.75 : x
  2. Step 2: Convert to fraction form
    442,671.75/964,176.75 = 964,176.75/x
  3. Step 3: Cross multiply
    442,671.75x = 964,176.75 × 964,176.75
  4. Step 4: Simplify right side
    442,671.75x = 929,636,805,240.56
  5. Step 5: Solve for x
    x = 929,636,805,240.56/442,671.75
  6. Step 6: Final answer
    x = 2,100,059.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.