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Finding the Third Proportional to 215,944 and 474,400

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Solution

The third proportional to 215,944 and 474,400 is: 1,042,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,944 : 474,400 = 474,400 : x
  2. Step 2: Convert to fraction form
    215,944/474,400 = 474,400/x
  3. Step 3: Cross multiply
    215,944x = 474,400 × 474,400
  4. Step 4: Simplify right side
    215,944x = 225,055,360,000
  5. Step 5: Solve for x
    x = 225,055,360,000/215,944
  6. Step 6: Final answer
    x = 1,042,193.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.