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Finding the Third Proportional to 405 and 851.63

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Solution

The third proportional to 405 and 851.63 is: 1,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 851.63 = 851.63 : x
  2. Step 2: Convert to fraction form
    405/851.63 = 851.63/x
  3. Step 3: Cross multiply
    405x = 851.63 × 851.63
  4. Step 4: Simplify right side
    405x = 725,265.14
  5. Step 5: Solve for x
    x = 725,265.14/405
  6. Step 6: Final answer
    x = 1,790.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.