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Finding the Third Proportional to 212,258 and 461,992

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Solution

The third proportional to 212,258 and 461,992 is: 1,005,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,258 : 461,992 = 461,992 : x
  2. Step 2: Convert to fraction form
    212,258/461,992 = 461,992/x
  3. Step 3: Cross multiply
    212,258x = 461,992 × 461,992
  4. Step 4: Simplify right side
    212,258x = 213,436,608,064
  5. Step 5: Solve for x
    x = 213,436,608,064/212,258
  6. Step 6: Final answer
    x = 1,005,552.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.