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Finding the Third Proportional to 190,469 and 414,802

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Solution

The third proportional to 190,469 and 414,802 is: 903,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,469 : 414,802 = 414,802 : x
  2. Step 2: Convert to fraction form
    190,469/414,802 = 414,802/x
  3. Step 3: Cross multiply
    190,469x = 414,802 × 414,802
  4. Step 4: Simplify right side
    190,469x = 172,060,699,204
  5. Step 5: Solve for x
    x = 172,060,699,204/190,469
  6. Step 6: Final answer
    x = 903,352.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.