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Finding the Third Proportional to 408,604.50 and 866,362.50

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Solution

The third proportional to 408,604.50 and 866,362.50 is: 1,836,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,604.50 : 866,362.50 = 866,362.50 : x
  2. Step 2: Convert to fraction form
    408,604.50/866,362.50 = 866,362.50/x
  3. Step 3: Cross multiply
    408,604.50x = 866,362.50 × 866,362.50
  4. Step 4: Simplify right side
    408,604.50x = 750,583,981,406.25
  5. Step 5: Solve for x
    x = 750,583,981,406.25/408,604.50
  6. Step 6: Final answer
    x = 1,836,944.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.