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Finding the Third Proportional to 232,544 and 502,256

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Solution

The third proportional to 232,544 and 502,256 is: 1,084,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,544 : 502,256 = 502,256 : x
  2. Step 2: Convert to fraction form
    232,544/502,256 = 502,256/x
  3. Step 3: Cross multiply
    232,544x = 502,256 × 502,256
  4. Step 4: Simplify right side
    232,544x = 252,261,089,536
  5. Step 5: Solve for x
    x = 252,261,089,536/232,544
  6. Step 6: Final answer
    x = 1,084,788.64

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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.