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Finding the Third Proportional to 408.13 and 874.63

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Solution

The third proportional to 408.13 and 874.63 is: 1,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.13 : 874.63 = 874.63 : x
  2. Step 2: Convert to fraction form
    408.13/874.63 = 874.63/x
  3. Step 3: Cross multiply
    408.13x = 874.63 × 874.63
  4. Step 4: Simplify right side
    408.13x = 764,968.89
  5. Step 5: Solve for x
    x = 764,968.89/408.13
  6. Step 6: Final answer
    x = 1,874.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.