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Finding the Third Proportional to 305,676.75 and 663,912.75

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Solution

The third proportional to 305,676.75 and 663,912.75 is: 1,441,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,676.75 : 663,912.75 = 663,912.75 : x
  2. Step 2: Convert to fraction form
    305,676.75/663,912.75 = 663,912.75/x
  3. Step 3: Cross multiply
    305,676.75x = 663,912.75 × 663,912.75
  4. Step 4: Simplify right side
    305,676.75x = 440,780,139,612.56
  5. Step 5: Solve for x
    x = 440,780,139,612.56/305,676.75
  6. Step 6: Final answer
    x = 1,441,981.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.