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Finding the Third Proportional to 367,404 and 520,020

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Solution

The third proportional to 367,404 and 520,020 is: 736,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,404 : 520,020 = 520,020 : x
  2. Step 2: Convert to fraction form
    367,404/520,020 = 520,020/x
  3. Step 3: Cross multiply
    367,404x = 520,020 × 520,020
  4. Step 4: Simplify right side
    367,404x = 270,420,800,400
  5. Step 5: Solve for x
    x = 270,420,800,400/367,404
  6. Step 6: Final answer
    x = 736,031.18

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