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Finding the Third Proportional to 233,876 and 496,904

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Solution

The third proportional to 233,876 and 496,904 is: 1,055,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,876 : 496,904 = 496,904 : x
  2. Step 2: Convert to fraction form
    233,876/496,904 = 496,904/x
  3. Step 3: Cross multiply
    233,876x = 496,904 × 496,904
  4. Step 4: Simplify right side
    233,876x = 246,913,585,216
  5. Step 5: Solve for x
    x = 246,913,585,216/233,876
  6. Step 6: Final answer
    x = 1,055,745.72

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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.