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Finding the Third Proportional to 492,869 and 741,491

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Solution

The third proportional to 492,869 and 741,491 is: 1,115,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,869 : 741,491 = 741,491 : x
  2. Step 2: Convert to fraction form
    492,869/741,491 = 741,491/x
  3. Step 3: Cross multiply
    492,869x = 741,491 × 741,491
  4. Step 4: Simplify right side
    492,869x = 549,808,903,081
  5. Step 5: Solve for x
    x = 549,808,903,081/492,869
  6. Step 6: Final answer
    x = 1,115,527.46

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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.