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Finding the Third Proportional to 233,138 and 512,932

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Solution

The third proportional to 233,138 and 512,932 is: 1,128,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138 : 512,932 = 512,932 : x
  2. Step 2: Convert to fraction form
    233,138/512,932 = 512,932/x
  3. Step 3: Cross multiply
    233,138x = 512,932 × 512,932
  4. Step 4: Simplify right side
    233,138x = 263,099,236,624
  5. Step 5: Solve for x
    x = 263,099,236,624/233,138
  6. Step 6: Final answer
    x = 1,128,512.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.