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Finding the Third Proportional to 367,401 and 520,015

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Solution

The third proportional to 367,401 and 520,015 is: 736,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,401 : 520,015 = 520,015 : x
  2. Step 2: Convert to fraction form
    367,401/520,015 = 520,015/x
  3. Step 3: Cross multiply
    367,401x = 520,015 × 520,015
  4. Step 4: Simplify right side
    367,401x = 270,415,600,225
  5. Step 5: Solve for x
    x = 270,415,600,225/367,401
  6. Step 6: Final answer
    x = 736,023.04

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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.