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Finding the Third Proportional to 192,457.50 and 463,647.75

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Solution

The third proportional to 192,457.50 and 463,647.75 is: 1,116,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.50 : 463,647.75 = 463,647.75 : x
  2. Step 2: Convert to fraction form
    192,457.50/463,647.75 = 463,647.75/x
  3. Step 3: Cross multiply
    192,457.50x = 463,647.75 × 463,647.75
  4. Step 4: Simplify right side
    192,457.50x = 214,969,236,080.06
  5. Step 5: Solve for x
    x = 214,969,236,080.06/192,457.50
  6. Step 6: Final answer
    x = 1,116,969.91

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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.