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Finding the Third Proportional to 190,515 and 413,863

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Solution

The third proportional to 190,515 and 413,863 is: 899,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,515 : 413,863 = 413,863 : x
  2. Step 2: Convert to fraction form
    190,515/413,863 = 413,863/x
  3. Step 3: Cross multiply
    190,515x = 413,863 × 413,863
  4. Step 4: Simplify right side
    190,515x = 171,282,582,769
  5. Step 5: Solve for x
    x = 171,282,582,769/190,515
  6. Step 6: Final answer
    x = 899,050.38

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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.