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Finding the Third Proportional to 406.05 and 883.20

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Solution

The third proportional to 406.05 and 883.20 is: 1,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.05 : 883.20 = 883.20 : x
  2. Step 2: Convert to fraction form
    406.05/883.20 = 883.20/x
  3. Step 3: Cross multiply
    406.05x = 883.20 × 883.20
  4. Step 4: Simplify right side
    406.05x = 780,033.96
  5. Step 5: Solve for x
    x = 780,033.96/406.05
  6. Step 6: Final answer
    x = 1,921.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.