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Finding the Third Proportional to 221,823 and 481,014

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Solution

The third proportional to 221,823 and 481,014 is: 1,043,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,823 : 481,014 = 481,014 : x
  2. Step 2: Convert to fraction form
    221,823/481,014 = 481,014/x
  3. Step 3: Cross multiply
    221,823x = 481,014 × 481,014
  4. Step 4: Simplify right side
    221,823x = 231,374,468,196
  5. Step 5: Solve for x
    x = 231,374,468,196/221,823
  6. Step 6: Final answer
    x = 1,043,058.96

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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.