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Finding the Third Proportional to 220,829 and 476,649

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Solution

The third proportional to 220,829 and 476,649 is: 1,028,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,829 : 476,649 = 476,649 : x
  2. Step 2: Convert to fraction form
    220,829/476,649 = 476,649/x
  3. Step 3: Cross multiply
    220,829x = 476,649 × 476,649
  4. Step 4: Simplify right side
    220,829x = 227,194,269,201
  5. Step 5: Solve for x
    x = 227,194,269,201/220,829
  6. Step 6: Final answer
    x = 1,028,824.43

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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.