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Finding the Third Proportional to 219,793.50 and 481,663.97

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Solution

The third proportional to 219,793.50 and 481,663.97 is: 1,055,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,793.50 : 481,663.97 = 481,663.97 : x
  2. Step 2: Convert to fraction form
    219,793.50/481,663.97 = 481,663.97/x
  3. Step 3: Cross multiply
    219,793.50x = 481,663.97 × 481,663.97
  4. Step 4: Simplify right side
    219,793.50x = 232,000,178,792.00
  5. Step 5: Solve for x
    x = 232,000,178,792.00/219,793.50
  6. Step 6: Final answer
    x = 1,055,537.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.