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Finding the Third Proportional to 305,230.78 and 663,007.78

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Solution

The third proportional to 305,230.78 and 663,007.78 is: 1,440,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,230.78 : 663,007.78 = 663,007.78 : x
  2. Step 2: Convert to fraction form
    305,230.78/663,007.78 = 663,007.78/x
  3. Step 3: Cross multiply
    305,230.78x = 663,007.78 × 663,007.78
  4. Step 4: Simplify right side
    305,230.78x = 439,579,317,998.05
  5. Step 5: Solve for x
    x = 439,579,317,998.05/305,230.78
  6. Step 6: Final answer
    x = 1,440,153.96

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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.