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Finding the Third Proportional to 190,592 and 407,416

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Solution

The third proportional to 190,592 and 407,416 is: 870,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,592 : 407,416 = 407,416 : x
  2. Step 2: Convert to fraction form
    190,592/407,416 = 407,416/x
  3. Step 3: Cross multiply
    190,592x = 407,416 × 407,416
  4. Step 4: Simplify right side
    190,592x = 165,987,797,056
  5. Step 5: Solve for x
    x = 165,987,797,056/190,592
  6. Step 6: Final answer
    x = 870,906.42

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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.