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Finding the Third Proportional to 390.45 and 843.38

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Solution

The third proportional to 390.45 and 843.38 is: 1,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.45 : 843.38 = 843.38 : x
  2. Step 2: Convert to fraction form
    390.45/843.38 = 843.38/x
  3. Step 3: Cross multiply
    390.45x = 843.38 × 843.38
  4. Step 4: Simplify right side
    390.45x = 711,291.27
  5. Step 5: Solve for x
    x = 711,291.27/390.45
  6. Step 6: Final answer
    x = 1,821.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.