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Finding the Third Proportional to 367,055.44 and 516,902.34

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Solution

The third proportional to 367,055.44 and 516,902.34 is: 727,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,055.44 : 516,902.34 = 516,902.34 : x
  2. Step 2: Convert to fraction form
    367,055.44/516,902.34 = 516,902.34/x
  3. Step 3: Cross multiply
    367,055.44x = 516,902.34 × 516,902.34
  4. Step 4: Simplify right side
    367,055.44x = 267,188,032,974.24
  5. Step 5: Solve for x
    x = 267,188,032,974.24/367,055.44
  6. Step 6: Final answer
    x = 727,922.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.