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Finding the Third Proportional to 190,493 and 413,825

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Solution

The third proportional to 190,493 and 413,825 is: 898,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,493 : 413,825 = 413,825 : x
  2. Step 2: Convert to fraction form
    190,493/413,825 = 413,825/x
  3. Step 3: Cross multiply
    190,493x = 413,825 × 413,825
  4. Step 4: Simplify right side
    190,493x = 171,251,130,625
  5. Step 5: Solve for x
    x = 171,251,130,625/190,493
  6. Step 6: Final answer
    x = 898,989.10

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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.