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Finding the Third Proportional to 455,451.75 and 980,968.50

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Solution

The third proportional to 455,451.75 and 980,968.50 is: 2,112,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,451.75 : 980,968.50 = 980,968.50 : x
  2. Step 2: Convert to fraction form
    455,451.75/980,968.50 = 980,968.50/x
  3. Step 3: Cross multiply
    455,451.75x = 980,968.50 × 980,968.50
  4. Step 4: Simplify right side
    455,451.75x = 962,299,197,992.25
  5. Step 5: Solve for x
    x = 962,299,197,992.25/455,451.75
  6. Step 6: Final answer
    x = 2,112,845.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.