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Finding the Third Proportional to 228,023.44 and 527,890.50

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Solution

The third proportional to 228,023.44 and 527,890.50 is: 1,222,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,023.44 : 527,890.50 = 527,890.50 : x
  2. Step 2: Convert to fraction form
    228,023.44/527,890.50 = 527,890.50/x
  3. Step 3: Cross multiply
    228,023.44x = 527,890.50 × 527,890.50
  4. Step 4: Simplify right side
    228,023.44x = 278,668,379,990.25
  5. Step 5: Solve for x
    x = 278,668,379,990.25/228,023.44
  6. Step 6: Final answer
    x = 1,222,104.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.