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Finding the Third Proportional to 215,838 and 504,125

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Solution

The third proportional to 215,838 and 504,125 is: 1,177,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,838 : 504,125 = 504,125 : x
  2. Step 2: Convert to fraction form
    215,838/504,125 = 504,125/x
  3. Step 3: Cross multiply
    215,838x = 504,125 × 504,125
  4. Step 4: Simplify right side
    215,838x = 254,142,015,625
  5. Step 5: Solve for x
    x = 254,142,015,625/215,838
  6. Step 6: Final answer
    x = 1,177,466.51

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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.