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Finding the Third Proportional to 313,272.56 and 643,145.06

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Solution

The third proportional to 313,272.56 and 643,145.06 is: 1,320,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,272.56 : 643,145.06 = 643,145.06 : x
  2. Step 2: Convert to fraction form
    313,272.56/643,145.06 = 643,145.06/x
  3. Step 3: Cross multiply
    313,272.56x = 643,145.06 × 643,145.06
  4. Step 4: Simplify right side
    313,272.56x = 413,635,571,418.13
  5. Step 5: Solve for x
    x = 413,635,571,418.13/313,272.56
  6. Step 6: Final answer
    x = 1,320,369.61

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.