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Finding the Third Proportional to 311,394.38 and 680,951.81

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Solution

The third proportional to 311,394.38 and 680,951.81 is: 1,489,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,394.38 : 680,951.81 = 680,951.81 : x
  2. Step 2: Convert to fraction form
    311,394.38/680,951.81 = 680,951.81/x
  3. Step 3: Cross multiply
    311,394.38x = 680,951.81 × 680,951.81
  4. Step 4: Simplify right side
    311,394.38x = 463,695,370,947.04
  5. Step 5: Solve for x
    x = 463,695,370,947.04/311,394.38
  6. Step 6: Final answer
    x = 1,489,093.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.