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Finding the Third Proportional to 504,360 and 1,085,256

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Solution

The third proportional to 504,360 and 1,085,256 is: 2,335,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,360 : 1,085,256 = 1,085,256 : x
  2. Step 2: Convert to fraction form
    504,360/1,085,256 = 1,085,256/x
  3. Step 3: Cross multiply
    504,360x = 1,085,256 × 1,085,256
  4. Step 4: Simplify right side
    504,360x = 1,177,780,585,536
  5. Step 5: Solve for x
    x = 1,177,780,585,536/504,360
  6. Step 6: Final answer
    x = 2,335,198.24

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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.