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Finding the Third Proportional to 492,651 and 741,162

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Solution

The third proportional to 492,651 and 741,162 is: 1,115,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,651 : 741,162 = 741,162 : x
  2. Step 2: Convert to fraction form
    492,651/741,162 = 741,162/x
  3. Step 3: Cross multiply
    492,651x = 741,162 × 741,162
  4. Step 4: Simplify right side
    492,651x = 549,321,110,244
  5. Step 5: Solve for x
    x = 549,321,110,244/492,651
  6. Step 6: Final answer
    x = 1,115,030.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.