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Finding the Third Proportional to 216,978 and 444,523.50

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Solution

The third proportional to 216,978 and 444,523.50 is: 910,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978 : 444,523.50 = 444,523.50 : x
  2. Step 2: Convert to fraction form
    216,978/444,523.50 = 444,523.50/x
  3. Step 3: Cross multiply
    216,978x = 444,523.50 × 444,523.50
  4. Step 4: Simplify right side
    216,978x = 197,601,142,052.25
  5. Step 5: Solve for x
    x = 197,601,142,052.25/216,978
  6. Step 6: Final answer
    x = 910,696.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.