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Finding the Third Proportional to 192,430 and 410,996

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Solution

The third proportional to 192,430 and 410,996 is: 877,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,430 : 410,996 = 410,996 : x
  2. Step 2: Convert to fraction form
    192,430/410,996 = 410,996/x
  3. Step 3: Cross multiply
    192,430x = 410,996 × 410,996
  4. Step 4: Simplify right side
    192,430x = 168,917,712,016
  5. Step 5: Solve for x
    x = 168,917,712,016/192,430
  6. Step 6: Final answer
    x = 877,813.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.