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Finding the Third Proportional to 411,450 and 617,173

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Solution

The third proportional to 411,450 and 617,173 is: 925,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,450 : 617,173 = 617,173 : x
  2. Step 2: Convert to fraction form
    411,450/617,173 = 617,173/x
  3. Step 3: Cross multiply
    411,450x = 617,173 × 617,173
  4. Step 4: Simplify right side
    411,450x = 380,902,511,929
  5. Step 5: Solve for x
    x = 380,902,511,929/411,450
  6. Step 6: Final answer
    x = 925,756.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.