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Finding the Third Proportional to 399.09 and 909.42

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Solution

The third proportional to 399.09 and 909.42 is: 2,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 909.42 = 909.42 : x
  2. Step 2: Convert to fraction form
    399.09/909.42 = 909.42/x
  3. Step 3: Cross multiply
    399.09x = 909.42 × 909.42
  4. Step 4: Simplify right side
    399.09x = 827,048.15
  5. Step 5: Solve for x
    x = 827,048.15/399.09
  6. Step 6: Final answer
    x = 2,072.32

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.