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Finding the Third Proportional to 194,066 and 417,796

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Solution

The third proportional to 194,066 and 417,796 is: 899,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,066 : 417,796 = 417,796 : x
  2. Step 2: Convert to fraction form
    194,066/417,796 = 417,796/x
  3. Step 3: Cross multiply
    194,066x = 417,796 × 417,796
  4. Step 4: Simplify right side
    194,066x = 174,553,497,616
  5. Step 5: Solve for x
    x = 174,553,497,616/194,066
  6. Step 6: Final answer
    x = 899,454.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.