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Finding the Third Proportional to 505,922 and 676,995

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Solution

The third proportional to 505,922 and 676,995 is: 905,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,922 : 676,995 = 676,995 : x
  2. Step 2: Convert to fraction form
    505,922/676,995 = 676,995/x
  3. Step 3: Cross multiply
    505,922x = 676,995 × 676,995
  4. Step 4: Simplify right side
    505,922x = 458,322,230,025
  5. Step 5: Solve for x
    x = 458,322,230,025/505,922
  6. Step 6: Final answer
    x = 905,914.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.