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Finding the Third Proportional to 335,898 and 520,074

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Solution

The third proportional to 335,898 and 520,074 is: 805,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898 : 520,074 = 520,074 : x
  2. Step 2: Convert to fraction form
    335,898/520,074 = 520,074/x
  3. Step 3: Cross multiply
    335,898x = 520,074 × 520,074
  4. Step 4: Simplify right side
    335,898x = 270,476,965,476
  5. Step 5: Solve for x
    x = 270,476,965,476/335,898
  6. Step 6: Final answer
    x = 805,235.42

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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.