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Finding the Third Proportional to 219,961.13 and 481,965.19

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Solution

The third proportional to 219,961.13 and 481,965.19 is: 1,056,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,961.13 : 481,965.19 = 481,965.19 : x
  2. Step 2: Convert to fraction form
    219,961.13/481,965.19 = 481,965.19/x
  3. Step 3: Cross multiply
    219,961.13x = 481,965.19 × 481,965.19
  4. Step 4: Simplify right side
    219,961.13x = 232,290,441,961.91
  5. Step 5: Solve for x
    x = 232,290,441,961.91/219,961.13
  6. Step 6: Final answer
    x = 1,056,052.25

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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.