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Finding the Third Proportional to 215,880 and 504,216

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Solution

The third proportional to 215,880 and 504,216 is: 1,177,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,880 : 504,216 = 504,216 : x
  2. Step 2: Convert to fraction form
    215,880/504,216 = 504,216/x
  3. Step 3: Cross multiply
    215,880x = 504,216 × 504,216
  4. Step 4: Simplify right side
    215,880x = 254,233,774,656
  5. Step 5: Solve for x
    x = 254,233,774,656/215,880
  6. Step 6: Final answer
    x = 1,177,662.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.