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Finding the Third Proportional to 190,404 and 410,868

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Solution

The third proportional to 190,404 and 410,868 is: 886,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,404 : 410,868 = 410,868 : x
  2. Step 2: Convert to fraction form
    190,404/410,868 = 410,868/x
  3. Step 3: Cross multiply
    190,404x = 410,868 × 410,868
  4. Step 4: Simplify right side
    190,404x = 168,812,513,424
  5. Step 5: Solve for x
    x = 168,812,513,424/190,404
  6. Step 6: Final answer
    x = 886,601.72

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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.