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Finding the Third Proportional to 321,987.94 and 437,293.97

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Solution

The third proportional to 321,987.94 and 437,293.97 is: 593,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,987.94 : 437,293.97 = 437,293.97 : x
  2. Step 2: Convert to fraction form
    321,987.94/437,293.97 = 437,293.97/x
  3. Step 3: Cross multiply
    321,987.94x = 437,293.97 × 437,293.97
  4. Step 4: Simplify right side
    321,987.94x = 191,226,015,105.13
  5. Step 5: Solve for x
    x = 191,226,015,105.13/321,987.94
  6. Step 6: Final answer
    x = 593,891.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.