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Finding the Third Proportional to 335,940 and 520,176

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Solution

The third proportional to 335,940 and 520,176 is: 805,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,940 : 520,176 = 520,176 : x
  2. Step 2: Convert to fraction form
    335,940/520,176 = 520,176/x
  3. Step 3: Cross multiply
    335,940x = 520,176 × 520,176
  4. Step 4: Simplify right side
    335,940x = 270,583,070,976
  5. Step 5: Solve for x
    x = 270,583,070,976/335,940
  6. Step 6: Final answer
    x = 805,450.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.