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Finding the Third Proportional to 411.75 and 903.09

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Solution

The third proportional to 411.75 and 903.09 is: 1,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 903.09 = 903.09 : x
  2. Step 2: Convert to fraction form
    411.75/903.09 = 903.09/x
  3. Step 3: Cross multiply
    411.75x = 903.09 × 903.09
  4. Step 4: Simplify right side
    411.75x = 815,578.32
  5. Step 5: Solve for x
    x = 815,578.32/411.75
  6. Step 6: Final answer
    x = 1,980.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.