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Finding the Third Proportional to 344,214 and 741,162

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Solution

The third proportional to 344,214 and 741,162 is: 1,595,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,214 : 741,162 = 741,162 : x
  2. Step 2: Convert to fraction form
    344,214/741,162 = 741,162/x
  3. Step 3: Cross multiply
    344,214x = 741,162 × 741,162
  4. Step 4: Simplify right side
    344,214x = 549,321,110,244
  5. Step 5: Solve for x
    x = 549,321,110,244/344,214
  6. Step 6: Final answer
    x = 1,595,870.91

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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.