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Finding the Third Proportional to 441,119.25 and 966,255.75

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Solution

The third proportional to 441,119.25 and 966,255.75 is: 2,116,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,119.25 : 966,255.75 = 966,255.75 : x
  2. Step 2: Convert to fraction form
    441,119.25/966,255.75 = 966,255.75/x
  3. Step 3: Cross multiply
    441,119.25x = 966,255.75 × 966,255.75
  4. Step 4: Simplify right side
    441,119.25x = 933,650,174,408.06
  5. Step 5: Solve for x
    x = 933,650,174,408.06/441,119.25
  6. Step 6: Final answer
    x = 2,116,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.