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Finding the Third Proportional to 213,635.25 and 455,863.50

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Solution

The third proportional to 213,635.25 and 455,863.50 is: 972,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,635.25 : 455,863.50 = 455,863.50 : x
  2. Step 2: Convert to fraction form
    213,635.25/455,863.50 = 455,863.50/x
  3. Step 3: Cross multiply
    213,635.25x = 455,863.50 × 455,863.50
  4. Step 4: Simplify right side
    213,635.25x = 207,811,530,632.25
  5. Step 5: Solve for x
    x = 207,811,530,632.25/213,635.25
  6. Step 6: Final answer
    x = 972,739.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.