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Finding the Third Proportional to 192,482 and 406,028

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Solution

The third proportional to 192,482 and 406,028 is: 856,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,482 : 406,028 = 406,028 : x
  2. Step 2: Convert to fraction form
    192,482/406,028 = 406,028/x
  3. Step 3: Cross multiply
    192,482x = 406,028 × 406,028
  4. Step 4: Simplify right side
    192,482x = 164,858,736,784
  5. Step 5: Solve for x
    x = 164,858,736,784/192,482
  6. Step 6: Final answer
    x = 856,489.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.