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Finding the Third Proportional to 221,958.56 and 481,265.72

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Solution

The third proportional to 221,958.56 and 481,265.72 is: 1,043,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,958.56 : 481,265.72 = 481,265.72 : x
  2. Step 2: Convert to fraction form
    221,958.56/481,265.72 = 481,265.72/x
  3. Step 3: Cross multiply
    221,958.56x = 481,265.72 × 481,265.72
  4. Step 4: Simplify right side
    221,958.56x = 231,616,692,043.95
  5. Step 5: Solve for x
    x = 231,616,692,043.95/221,958.56
  6. Step 6: Final answer
    x = 1,043,513.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.