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Finding the Third Proportional to 321,931.88 and 437,226.75

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Solution

The third proportional to 321,931.88 and 437,226.75 is: 593,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,931.88 : 437,226.75 = 437,226.75 : x
  2. Step 2: Convert to fraction form
    321,931.88/437,226.75 = 437,226.75/x
  3. Step 3: Cross multiply
    321,931.88x = 437,226.75 × 437,226.75
  4. Step 4: Simplify right side
    321,931.88x = 191,167,230,915.56
  5. Step 5: Solve for x
    x = 191,167,230,915.56/321,931.88
  6. Step 6: Final answer
    x = 593,812.68

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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.