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Finding the Third Proportional to 408.59 and 893.11

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Solution

The third proportional to 408.59 and 893.11 is: 1,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.59 : 893.11 = 893.11 : x
  2. Step 2: Convert to fraction form
    408.59/893.11 = 893.11/x
  3. Step 3: Cross multiply
    408.59x = 893.11 × 893.11
  4. Step 4: Simplify right side
    408.59x = 797,644.36
  5. Step 5: Solve for x
    x = 797,644.36/408.59
  6. Step 6: Final answer
    x = 1,952.21

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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.