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Finding the Third Proportional to 367,077 and 494,023

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Solution

The third proportional to 367,077 and 494,023 is: 664,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,077 : 494,023 = 494,023 : x
  2. Step 2: Convert to fraction form
    367,077/494,023 = 494,023/x
  3. Step 3: Cross multiply
    367,077x = 494,023 × 494,023
  4. Step 4: Simplify right side
    367,077x = 244,058,724,529
  5. Step 5: Solve for x
    x = 244,058,724,529/367,077
  6. Step 6: Final answer
    x = 664,870.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.