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Finding the Third Proportional to 192,459 and 463,071

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Solution

The third proportional to 192,459 and 463,071 is: 1,114,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,459 : 463,071 = 463,071 : x
  2. Step 2: Convert to fraction form
    192,459/463,071 = 463,071/x
  3. Step 3: Cross multiply
    192,459x = 463,071 × 463,071
  4. Step 4: Simplify right side
    192,459x = 214,434,751,041
  5. Step 5: Solve for x
    x = 214,434,751,041/192,459
  6. Step 6: Final answer
    x = 1,114,184.07

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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.