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Finding the Third Proportional to 216,224.44 and 464,418.56

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Solution

The third proportional to 216,224.44 and 464,418.56 is: 997,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,224.44 : 464,418.56 = 464,418.56 : x
  2. Step 2: Convert to fraction form
    216,224.44/464,418.56 = 464,418.56/x
  3. Step 3: Cross multiply
    216,224.44x = 464,418.56 × 464,418.56
  4. Step 4: Simplify right side
    216,224.44x = 215,684,601,194.57
  5. Step 5: Solve for x
    x = 215,684,601,194.57/216,224.44
  6. Step 6: Final answer
    x = 997,503.35

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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.