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Finding the Third Proportional to 367,402 and 520,016

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Solution

The third proportional to 367,402 and 520,016 is: 736,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,402 : 520,016 = 520,016 : x
  2. Step 2: Convert to fraction form
    367,402/520,016 = 520,016/x
  3. Step 3: Cross multiply
    367,402x = 520,016 × 520,016
  4. Step 4: Simplify right side
    367,402x = 270,416,640,256
  5. Step 5: Solve for x
    x = 270,416,640,256/367,402
  6. Step 6: Final answer
    x = 736,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.