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Finding the Third Proportional to 411,444 and 617,166.75

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Solution

The third proportional to 411,444 and 617,166.75 is: 925,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,444 : 617,166.75 = 617,166.75 : x
  2. Step 2: Convert to fraction form
    411,444/617,166.75 = 617,166.75/x
  3. Step 3: Cross multiply
    411,444x = 617,166.75 × 617,166.75
  4. Step 4: Simplify right side
    411,444x = 380,894,797,305.56
  5. Step 5: Solve for x
    x = 380,894,797,305.56/411,444
  6. Step 6: Final answer
    x = 925,751.25

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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.