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Finding the Third Proportional to 213,786 and 451,602

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Solution

The third proportional to 213,786 and 451,602 is: 953,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,786 : 451,602 = 451,602 : x
  2. Step 2: Convert to fraction form
    213,786/451,602 = 451,602/x
  3. Step 3: Cross multiply
    213,786x = 451,602 × 451,602
  4. Step 4: Simplify right side
    213,786x = 203,944,366,404
  5. Step 5: Solve for x
    x = 203,944,366,404/213,786
  6. Step 6: Final answer
    x = 953,965.02

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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.