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Finding the Third Proportional to 220,800 and 476,544

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Solution

The third proportional to 220,800 and 476,544 is: 1,028,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,800 : 476,544 = 476,544 : x
  2. Step 2: Convert to fraction form
    220,800/476,544 = 476,544/x
  3. Step 3: Cross multiply
    220,800x = 476,544 × 476,544
  4. Step 4: Simplify right side
    220,800x = 227,094,183,936
  5. Step 5: Solve for x
    x = 227,094,183,936/220,800
  6. Step 6: Final answer
    x = 1,028,506.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.