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Finding the Third Proportional to 382.13 and 821.06

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Solution

The third proportional to 382.13 and 821.06 is: 1,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 821.06 = 821.06 : x
  2. Step 2: Convert to fraction form
    382.13/821.06 = 821.06/x
  3. Step 3: Cross multiply
    382.13x = 821.06 × 821.06
  4. Step 4: Simplify right side
    382.13x = 674,143.63
  5. Step 5: Solve for x
    x = 674,143.63/382.13
  6. Step 6: Final answer
    x = 1,764.20

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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.