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Finding the Third Proportional to 354,631.50 and 532,311.75

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Solution

The third proportional to 354,631.50 and 532,311.75 is: 799,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,631.50 : 532,311.75 = 532,311.75 : x
  2. Step 2: Convert to fraction form
    354,631.50/532,311.75 = 532,311.75/x
  3. Step 3: Cross multiply
    354,631.50x = 532,311.75 × 532,311.75
  4. Step 4: Simplify right side
    354,631.50x = 283,355,799,188.06
  5. Step 5: Solve for x
    x = 283,355,799,188.06/354,631.50
  6. Step 6: Final answer
    x = 799,014.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.