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Finding the Third Proportional to 311,790 and 673,404

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Solution

The third proportional to 311,790 and 673,404 is: 1,454,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,790 : 673,404 = 673,404 : x
  2. Step 2: Convert to fraction form
    311,790/673,404 = 673,404/x
  3. Step 3: Cross multiply
    311,790x = 673,404 × 673,404
  4. Step 4: Simplify right side
    311,790x = 453,472,947,216
  5. Step 5: Solve for x
    x = 453,472,947,216/311,790
  6. Step 6: Final answer
    x = 1,454,417.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.