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Finding the Third Proportional to 406.13 and 847.13

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Solution

The third proportional to 406.13 and 847.13 is: 1,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 847.13 = 847.13 : x
  2. Step 2: Convert to fraction form
    406.13/847.13 = 847.13/x
  3. Step 3: Cross multiply
    406.13x = 847.13 × 847.13
  4. Step 4: Simplify right side
    406.13x = 717,620.77
  5. Step 5: Solve for x
    x = 717,620.77/406.13
  6. Step 6: Final answer
    x = 1,766.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.