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Finding the Third Proportional to 233,258 and 483,112

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Solution

The third proportional to 233,258 and 483,112 is: 1,000,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,258 : 483,112 = 483,112 : x
  2. Step 2: Convert to fraction form
    233,258/483,112 = 483,112/x
  3. Step 3: Cross multiply
    233,258x = 483,112 × 483,112
  4. Step 4: Simplify right side
    233,258x = 233,397,204,544
  5. Step 5: Solve for x
    x = 233,397,204,544/233,258
  6. Step 6: Final answer
    x = 1,000,596.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.