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Finding the Third Proportional to 214,990 and 502,036

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Solution

The third proportional to 214,990 and 502,036 is: 1,172,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,990 : 502,036 = 502,036 : x
  2. Step 2: Convert to fraction form
    214,990/502,036 = 502,036/x
  3. Step 3: Cross multiply
    214,990x = 502,036 × 502,036
  4. Step 4: Simplify right side
    214,990x = 252,040,145,296
  5. Step 5: Solve for x
    x = 252,040,145,296/214,990
  6. Step 6: Final answer
    x = 1,172,334.27

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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.