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Finding the Third Proportional to 408,251.25 and 886,608

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Solution

The third proportional to 408,251.25 and 886,608 is: 1,925,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,251.25 : 886,608 = 886,608 : x
  2. Step 2: Convert to fraction form
    408,251.25/886,608 = 886,608/x
  3. Step 3: Cross multiply
    408,251.25x = 886,608 × 886,608
  4. Step 4: Simplify right side
    408,251.25x = 786,073,745,664
  5. Step 5: Solve for x
    x = 786,073,745,664/408,251.25
  6. Step 6: Final answer
    x = 1,925,465.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.