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Finding the Third Proportional to 220,811 and 476,595

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Solution

The third proportional to 220,811 and 476,595 is: 1,028,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,811 : 476,595 = 476,595 : x
  2. Step 2: Convert to fraction form
    220,811/476,595 = 476,595/x
  3. Step 3: Cross multiply
    220,811x = 476,595 × 476,595
  4. Step 4: Simplify right side
    220,811x = 227,142,794,025
  5. Step 5: Solve for x
    x = 227,142,794,025/220,811
  6. Step 6: Final answer
    x = 1,028,675.17

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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.