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Finding the Third Proportional to 213,788 and 451,606

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Solution

The third proportional to 213,788 and 451,606 is: 953,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,788 : 451,606 = 451,606 : x
  2. Step 2: Convert to fraction form
    213,788/451,606 = 451,606/x
  3. Step 3: Cross multiply
    213,788x = 451,606 × 451,606
  4. Step 4: Simplify right side
    213,788x = 203,947,979,236
  5. Step 5: Solve for x
    x = 203,947,979,236/213,788
  6. Step 6: Final answer
    x = 953,973.00

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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.