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Finding the Third Proportional to 215,832 and 504,111

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Solution

The third proportional to 215,832 and 504,111 is: 1,177,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832 : 504,111 = 504,111 : x
  2. Step 2: Convert to fraction form
    215,832/504,111 = 504,111/x
  3. Step 3: Cross multiply
    215,832x = 504,111 × 504,111
  4. Step 4: Simplify right side
    215,832x = 254,127,900,321
  5. Step 5: Solve for x
    x = 254,127,900,321/215,832
  6. Step 6: Final answer
    x = 1,177,433.84

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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.