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Finding the Third Proportional to 220,761 and 480,186

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Solution

The third proportional to 220,761 and 480,186 is: 1,044,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,761 : 480,186 = 480,186 : x
  2. Step 2: Convert to fraction form
    220,761/480,186 = 480,186/x
  3. Step 3: Cross multiply
    220,761x = 480,186 × 480,186
  4. Step 4: Simplify right side
    220,761x = 230,578,594,596
  5. Step 5: Solve for x
    x = 230,578,594,596/220,761
  6. Step 6: Final answer
    x = 1,044,471.60

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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.