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Finding the Third Proportional to 230,850 and 504,036

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Solution

The third proportional to 230,850 and 504,036 is: 1,100,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,850 : 504,036 = 504,036 : x
  2. Step 2: Convert to fraction form
    230,850/504,036 = 504,036/x
  3. Step 3: Cross multiply
    230,850x = 504,036 × 504,036
  4. Step 4: Simplify right side
    230,850x = 254,052,289,296
  5. Step 5: Solve for x
    x = 254,052,289,296/230,850
  6. Step 6: Final answer
    x = 1,100,508.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.