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Finding the Third Proportional to 150,633 and 324,594

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Solution

The third proportional to 150,633 and 324,594 is: 699,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,633 : 324,594 = 324,594 : x
  2. Step 2: Convert to fraction form
    150,633/324,594 = 324,594/x
  3. Step 3: Cross multiply
    150,633x = 324,594 × 324,594
  4. Step 4: Simplify right side
    150,633x = 105,361,264,836
  5. Step 5: Solve for x
    x = 105,361,264,836/150,633
  6. Step 6: Final answer
    x = 699,456.72

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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.