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Finding the Third Proportional to 190,514 and 413,860

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Solution

The third proportional to 190,514 and 413,860 is: 899,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,514 : 413,860 = 413,860 : x
  2. Step 2: Convert to fraction form
    190,514/413,860 = 413,860/x
  3. Step 3: Cross multiply
    190,514x = 413,860 × 413,860
  4. Step 4: Simplify right side
    190,514x = 171,280,099,600
  5. Step 5: Solve for x
    x = 171,280,099,600/190,514
  6. Step 6: Final answer
    x = 899,042.06

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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.