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Finding the Third Proportional to 214,604.44 and 462,423.94

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Solution

The third proportional to 214,604.44 and 462,423.94 is: 996,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,604.44 : 462,423.94 = 462,423.94 : x
  2. Step 2: Convert to fraction form
    214,604.44/462,423.94 = 462,423.94/x
  3. Step 3: Cross multiply
    214,604.44x = 462,423.94 × 462,423.94
  4. Step 4: Simplify right side
    214,604.44x = 213,835,897,973.00
  5. Step 5: Solve for x
    x = 213,835,897,973.00/214,604.44
  6. Step 6: Final answer
    x = 996,418.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.