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Finding the Third Proportional to 367,458 and 520,098

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Solution

The third proportional to 367,458 and 520,098 is: 736,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458 : 520,098 = 520,098 : x
  2. Step 2: Convert to fraction form
    367,458/520,098 = 520,098/x
  3. Step 3: Cross multiply
    367,458x = 520,098 × 520,098
  4. Step 4: Simplify right side
    367,458x = 270,501,929,604
  5. Step 5: Solve for x
    x = 270,501,929,604/367,458
  6. Step 6: Final answer
    x = 736,143.80

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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.