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Finding the Third Proportional to 406.27 and 954.07

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Solution

The third proportional to 406.27 and 954.07 is: 2,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 954.07 = 954.07 : x
  2. Step 2: Convert to fraction form
    406.27/954.07 = 954.07/x
  3. Step 3: Cross multiply
    406.27x = 954.07 × 954.07
  4. Step 4: Simplify right side
    406.27x = 910,250.16
  5. Step 5: Solve for x
    x = 910,250.16/406.27
  6. Step 6: Final answer
    x = 2,240.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.