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Finding the Third Proportional to 213,660 and 451,331

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Solution

The third proportional to 213,660 and 451,331 is: 953,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,660 : 451,331 = 451,331 : x
  2. Step 2: Convert to fraction form
    213,660/451,331 = 451,331/x
  3. Step 3: Cross multiply
    213,660x = 451,331 × 451,331
  4. Step 4: Simplify right side
    213,660x = 203,699,671,561
  5. Step 5: Solve for x
    x = 203,699,671,561/213,660
  6. Step 6: Final answer
    x = 953,382.34

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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.