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Finding the Third Proportional to 213,610.50 and 504,247.50

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Solution

The third proportional to 213,610.50 and 504,247.50 is: 1,190,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,610.50 : 504,247.50 = 504,247.50 : x
  2. Step 2: Convert to fraction form
    213,610.50/504,247.50 = 504,247.50/x
  3. Step 3: Cross multiply
    213,610.50x = 504,247.50 × 504,247.50
  4. Step 4: Simplify right side
    213,610.50x = 254,265,541,256.25
  5. Step 5: Solve for x
    x = 254,265,541,256.25/213,610.50
  6. Step 6: Final answer
    x = 1,190,323.23

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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.