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Finding the Third Proportional to 190,408 and 410,876

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Solution

The third proportional to 190,408 and 410,876 is: 886,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,408 : 410,876 = 410,876 : x
  2. Step 2: Convert to fraction form
    190,408/410,876 = 410,876/x
  3. Step 3: Cross multiply
    190,408x = 410,876 × 410,876
  4. Step 4: Simplify right side
    190,408x = 168,819,087,376
  5. Step 5: Solve for x
    x = 168,819,087,376/190,408
  6. Step 6: Final answer
    x = 886,617.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.