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Finding the Third Proportional to 213,615 and 504,260

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Solution

The third proportional to 213,615 and 504,260 is: 1,190,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615 : 504,260 = 504,260 : x
  2. Step 2: Convert to fraction form
    213,615/504,260 = 504,260/x
  3. Step 3: Cross multiply
    213,615x = 504,260 × 504,260
  4. Step 4: Simplify right side
    213,615x = 254,278,147,600
  5. Step 5: Solve for x
    x = 254,278,147,600/213,615
  6. Step 6: Final answer
    x = 1,190,357.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.