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Finding the Third Proportional to 220,232.04 and 480,912.19

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Solution

The third proportional to 220,232.04 and 480,912.19 is: 1,050,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,232.04 : 480,912.19 = 480,912.19 : x
  2. Step 2: Convert to fraction form
    220,232.04/480,912.19 = 480,912.19/x
  3. Step 3: Cross multiply
    220,232.04x = 480,912.19 × 480,912.19
  4. Step 4: Simplify right side
    220,232.04x = 231,276,532,086.04
  5. Step 5: Solve for x
    x = 231,276,532,086.04/220,232.04
  6. Step 6: Final answer
    x = 1,050,149.35

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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.