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Finding the Third Proportional to 219,930.19 and 481,960.13

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Solution

The third proportional to 219,930.19 and 481,960.13 is: 1,056,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,930.19 : 481,960.13 = 481,960.13 : x
  2. Step 2: Convert to fraction form
    219,930.19/481,960.13 = 481,960.13/x
  3. Step 3: Cross multiply
    219,930.19x = 481,960.13 × 481,960.13
  4. Step 4: Simplify right side
    219,930.19x = 232,285,562,090.02
  5. Step 5: Solve for x
    x = 232,285,562,090.02/219,930.19
  6. Step 6: Final answer
    x = 1,056,178.62

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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.