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Finding the Third Proportional to 191,919 and 405,982

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Solution

The third proportional to 191,919 and 405,982 is: 858,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,919 : 405,982 = 405,982 : x
  2. Step 2: Convert to fraction form
    191,919/405,982 = 405,982/x
  3. Step 3: Cross multiply
    191,919x = 405,982 × 405,982
  4. Step 4: Simplify right side
    191,919x = 164,821,384,324
  5. Step 5: Solve for x
    x = 164,821,384,324/191,919
  6. Step 6: Final answer
    x = 858,807.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.