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Finding the Third Proportional to 451,200.38 and 963,287.44

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Solution

The third proportional to 451,200.38 and 963,287.44 is: 2,056,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,200.38 : 963,287.44 = 963,287.44 : x
  2. Step 2: Convert to fraction form
    451,200.38/963,287.44 = 963,287.44/x
  3. Step 3: Cross multiply
    451,200.38x = 963,287.44 × 963,287.44
  4. Step 4: Simplify right side
    451,200.38x = 927,922,687,245.32
  5. Step 5: Solve for x
    x = 927,922,687,245.32/451,200.38
  6. Step 6: Final answer
    x = 2,056,564.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.