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Finding the Third Proportional to 367,466 and 520,104

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Solution

The third proportional to 367,466 and 520,104 is: 736,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,466 : 520,104 = 520,104 : x
  2. Step 2: Convert to fraction form
    367,466/520,104 = 520,104/x
  3. Step 3: Cross multiply
    367,466x = 520,104 × 520,104
  4. Step 4: Simplify right side
    367,466x = 270,508,170,816
  5. Step 5: Solve for x
    x = 270,508,170,816/367,466
  6. Step 6: Final answer
    x = 736,144.76

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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.