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Finding the Third Proportional to 367,414 and 520,035

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Solution

The third proportional to 367,414 and 520,035 is: 736,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,414 : 520,035 = 520,035 : x
  2. Step 2: Convert to fraction form
    367,414/520,035 = 520,035/x
  3. Step 3: Cross multiply
    367,414x = 520,035 × 520,035
  4. Step 4: Simplify right side
    367,414x = 270,436,401,225
  5. Step 5: Solve for x
    x = 270,436,401,225/367,414
  6. Step 6: Final answer
    x = 736,053.61

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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.