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Finding the Third Proportional to 301,956 and 617,016

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Solution

The third proportional to 301,956 and 617,016 is: 1,260,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956 : 617,016 = 617,016 : x
  2. Step 2: Convert to fraction form
    301,956/617,016 = 617,016/x
  3. Step 3: Cross multiply
    301,956x = 617,016 × 617,016
  4. Step 4: Simplify right side
    301,956x = 380,708,744,256
  5. Step 5: Solve for x
    x = 380,708,744,256/301,956
  6. Step 6: Final answer
    x = 1,260,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.