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Finding the Third Proportional to 363,514.50 and 603,744.75

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Solution

The third proportional to 363,514.50 and 603,744.75 is: 1,002,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,514.50 : 603,744.75 = 603,744.75 : x
  2. Step 2: Convert to fraction form
    363,514.50/603,744.75 = 603,744.75/x
  3. Step 3: Cross multiply
    363,514.50x = 603,744.75 × 603,744.75
  4. Step 4: Simplify right side
    363,514.50x = 364,507,723,152.56
  5. Step 5: Solve for x
    x = 364,507,723,152.56/363,514.50
  6. Step 6: Final answer
    x = 1,002,732.28

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.