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Finding the Third Proportional to 213,540.05 and 464,447.67

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Solution

The third proportional to 213,540.05 and 464,447.67 is: 1,010,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,540.05 : 464,447.67 = 464,447.67 : x
  2. Step 2: Convert to fraction form
    213,540.05/464,447.67 = 464,447.67/x
  3. Step 3: Cross multiply
    213,540.05x = 464,447.67 × 464,447.67
  4. Step 4: Simplify right side
    213,540.05x = 215,711,639,910.11
  5. Step 5: Solve for x
    x = 215,711,639,910.11/213,540.05
  6. Step 6: Final answer
    x = 1,010,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.