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Finding the Third Proportional to 219,441.66 and 479,069.44

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Solution

The third proportional to 219,441.66 and 479,069.44 is: 1,045,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,441.66 : 479,069.44 = 479,069.44 : x
  2. Step 2: Convert to fraction form
    219,441.66/479,069.44 = 479,069.44/x
  3. Step 3: Cross multiply
    219,441.66x = 479,069.44 × 479,069.44
  4. Step 4: Simplify right side
    219,441.66x = 229,507,525,946.57
  5. Step 5: Solve for x
    x = 229,507,525,946.57/219,441.66
  6. Step 6: Final answer
    x = 1,045,870.37

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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.