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Finding the Third Proportional to 220,404 and 477,456

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Solution

The third proportional to 220,404 and 477,456 is: 1,034,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,404 : 477,456 = 477,456 : x
  2. Step 2: Convert to fraction form
    220,404/477,456 = 477,456/x
  3. Step 3: Cross multiply
    220,404x = 477,456 × 477,456
  4. Step 4: Simplify right side
    220,404x = 227,964,231,936
  5. Step 5: Solve for x
    x = 227,964,231,936/220,404
  6. Step 6: Final answer
    x = 1,034,301.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.