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Finding the Third Proportional to 215,946 and 445,722.75

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Solution

The third proportional to 215,946 and 445,722.75 is: 919,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,946 : 445,722.75 = 445,722.75 : x
  2. Step 2: Convert to fraction form
    215,946/445,722.75 = 445,722.75/x
  3. Step 3: Cross multiply
    215,946x = 445,722.75 × 445,722.75
  4. Step 4: Simplify right side
    215,946x = 198,668,769,867.56
  5. Step 5: Solve for x
    x = 198,668,769,867.56/215,946
  6. Step 6: Final answer
    x = 919,992.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.