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Finding the Third Proportional to 367,433 and 520,063

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Solution

The third proportional to 367,433 and 520,063 is: 736,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,433 : 520,063 = 520,063 : x
  2. Step 2: Convert to fraction form
    367,433/520,063 = 520,063/x
  3. Step 3: Cross multiply
    367,433x = 520,063 × 520,063
  4. Step 4: Simplify right side
    367,433x = 270,465,523,969
  5. Step 5: Solve for x
    x = 270,465,523,969/367,433
  6. Step 6: Final answer
    x = 736,094.81

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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.