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Finding the Third Proportional to 233,714 and 504,212

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Solution

The third proportional to 233,714 and 504,212 is: 1,087,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,714 : 504,212 = 504,212 : x
  2. Step 2: Convert to fraction form
    233,714/504,212 = 504,212/x
  3. Step 3: Cross multiply
    233,714x = 504,212 × 504,212
  4. Step 4: Simplify right side
    233,714x = 254,229,740,944
  5. Step 5: Solve for x
    x = 254,229,740,944/233,714
  6. Step 6: Final answer
    x = 1,087,781.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.