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Finding the Third Proportional to 411,452 and 617,177

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Solution

The third proportional to 411,452 and 617,177 is: 925,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,452 : 617,177 = 617,177 : x
  2. Step 2: Convert to fraction form
    411,452/617,177 = 617,177/x
  3. Step 3: Cross multiply
    411,452x = 617,177 × 617,177
  4. Step 4: Simplify right side
    411,452x = 380,907,449,329
  5. Step 5: Solve for x
    x = 380,907,449,329/411,452
  6. Step 6: Final answer
    x = 925,764.00

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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.