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Finding the Third Proportional to 150,628 and 324,596

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Solution

The third proportional to 150,628 and 324,596 is: 699,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,628 : 324,596 = 324,596 : x
  2. Step 2: Convert to fraction form
    150,628/324,596 = 324,596/x
  3. Step 3: Cross multiply
    150,628x = 324,596 × 324,596
  4. Step 4: Simplify right side
    150,628x = 105,362,563,216
  5. Step 5: Solve for x
    x = 105,362,563,216/150,628
  6. Step 6: Final answer
    x = 699,488.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.