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Finding the Third Proportional to 218,825 and 474,997

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Solution

The third proportional to 218,825 and 474,997 is: 1,031,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825 : 474,997 = 474,997 : x
  2. Step 2: Convert to fraction form
    218,825/474,997 = 474,997/x
  3. Step 3: Cross multiply
    218,825x = 474,997 × 474,997
  4. Step 4: Simplify right side
    218,825x = 225,622,150,009
  5. Step 5: Solve for x
    x = 225,622,150,009/218,825
  6. Step 6: Final answer
    x = 1,031,062.04

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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.