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Finding the Third Proportional to 220,120.50 and 482,436

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Solution

The third proportional to 220,120.50 and 482,436 is: 1,057,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,120.50 : 482,436 = 482,436 : x
  2. Step 2: Convert to fraction form
    220,120.50/482,436 = 482,436/x
  3. Step 3: Cross multiply
    220,120.50x = 482,436 × 482,436
  4. Step 4: Simplify right side
    220,120.50x = 232,744,494,096
  5. Step 5: Solve for x
    x = 232,744,494,096/220,120.50
  6. Step 6: Final answer
    x = 1,057,350.38

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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.