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Finding the Third Proportional to 300,793.50 and 642,178.13

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Solution

The third proportional to 300,793.50 and 642,178.13 is: 1,371,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,793.50 : 642,178.13 = 642,178.13 : x
  2. Step 2: Convert to fraction form
    300,793.50/642,178.13 = 642,178.13/x
  3. Step 3: Cross multiply
    300,793.50x = 642,178.13 × 642,178.13
  4. Step 4: Simplify right side
    300,793.50x = 412,392,744,228.52
  5. Step 5: Solve for x
    x = 412,392,744,228.52/300,793.50
  6. Step 6: Final answer
    x = 1,371,016.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.