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Finding the Third Proportional to 213,789 and 451,608

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Solution

The third proportional to 213,789 and 451,608 is: 953,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,789 : 451,608 = 451,608 : x
  2. Step 2: Convert to fraction form
    213,789/451,608 = 451,608/x
  3. Step 3: Cross multiply
    213,789x = 451,608 × 451,608
  4. Step 4: Simplify right side
    213,789x = 203,949,785,664
  5. Step 5: Solve for x
    x = 203,949,785,664/213,789
  6. Step 6: Final answer
    x = 953,976.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.