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Finding the Third Proportional to 442,137 and 667,407.75

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Solution

The third proportional to 442,137 and 667,407.75 is: 1,007,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,137 : 667,407.75 = 667,407.75 : x
  2. Step 2: Convert to fraction form
    442,137/667,407.75 = 667,407.75/x
  3. Step 3: Cross multiply
    442,137x = 667,407.75 × 667,407.75
  4. Step 4: Simplify right side
    442,137x = 445,433,104,760.06
  5. Step 5: Solve for x
    x = 445,433,104,760.06/442,137
  6. Step 6: Final answer
    x = 1,007,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.