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Finding the Third Proportional to 223,823 and 486,976

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Solution

The third proportional to 223,823 and 486,976 is: 1,059,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823 : 486,976 = 486,976 : x
  2. Step 2: Convert to fraction form
    223,823/486,976 = 486,976/x
  3. Step 3: Cross multiply
    223,823x = 486,976 × 486,976
  4. Step 4: Simplify right side
    223,823x = 237,145,624,576
  5. Step 5: Solve for x
    x = 237,145,624,576/223,823
  6. Step 6: Final answer
    x = 1,059,523.04

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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.