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Finding the Third Proportional to 233,882 and 496,916

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Solution

The third proportional to 233,882 and 496,916 is: 1,055,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,882 : 496,916 = 496,916 : x
  2. Step 2: Convert to fraction form
    233,882/496,916 = 496,916/x
  3. Step 3: Cross multiply
    233,882x = 496,916 × 496,916
  4. Step 4: Simplify right side
    233,882x = 246,925,511,056
  5. Step 5: Solve for x
    x = 246,925,511,056/233,882
  6. Step 6: Final answer
    x = 1,055,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.