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Finding the Third Proportional to 220,624.69 and 481,709.06

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Solution

The third proportional to 220,624.69 and 481,709.06 is: 1,051,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,624.69 : 481,709.06 = 481,709.06 : x
  2. Step 2: Convert to fraction form
    220,624.69/481,709.06 = 481,709.06/x
  3. Step 3: Cross multiply
    220,624.69x = 481,709.06 × 481,709.06
  4. Step 4: Simplify right side
    220,624.69x = 232,043,620,894.63
  5. Step 5: Solve for x
    x = 232,043,620,894.63/220,624.69
  6. Step 6: Final answer
    x = 1,051,757.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.