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Finding the Third Proportional to 233,305 and 482,161

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Solution

The third proportional to 233,305 and 482,161 is: 996,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305 : 482,161 = 482,161 : x
  2. Step 2: Convert to fraction form
    233,305/482,161 = 482,161/x
  3. Step 3: Cross multiply
    233,305x = 482,161 × 482,161
  4. Step 4: Simplify right side
    233,305x = 232,479,229,921
  5. Step 5: Solve for x
    x = 232,479,229,921/233,305
  6. Step 6: Final answer
    x = 996,460.56

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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.