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Finding the Third Proportional to 304,859.50 and 656,542.75

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Solution

The third proportional to 304,859.50 and 656,542.75 is: 1,413,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,859.50 : 656,542.75 = 656,542.75 : x
  2. Step 2: Convert to fraction form
    304,859.50/656,542.75 = 656,542.75/x
  3. Step 3: Cross multiply
    304,859.50x = 656,542.75 × 656,542.75
  4. Step 4: Simplify right side
    304,859.50x = 431,048,382,577.56
  5. Step 5: Solve for x
    x = 431,048,382,577.56/304,859.50
  6. Step 6: Final answer
    x = 1,413,924.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.