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Finding the Third Proportional to 192,458 and 463,649

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Solution

The third proportional to 192,458 and 463,649 is: 1,116,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458 : 463,649 = 463,649 : x
  2. Step 2: Convert to fraction form
    192,458/463,649 = 463,649/x
  3. Step 3: Cross multiply
    192,458x = 463,649 × 463,649
  4. Step 4: Simplify right side
    192,458x = 214,970,395,201
  5. Step 5: Solve for x
    x = 214,970,395,201/192,458
  6. Step 6: Final answer
    x = 1,116,973.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.