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Finding the Third Proportional to 310,922 and 667,132

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Solution

The third proportional to 310,922 and 667,132 is: 1,431,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,922 : 667,132 = 667,132 : x
  2. Step 2: Convert to fraction form
    310,922/667,132 = 667,132/x
  3. Step 3: Cross multiply
    310,922x = 667,132 × 667,132
  4. Step 4: Simplify right side
    310,922x = 445,065,105,424
  5. Step 5: Solve for x
    x = 445,065,105,424/310,922
  6. Step 6: Final answer
    x = 1,431,436.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.