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Finding the Third Proportional to 519,096 and 663,318

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Solution

The third proportional to 519,096 and 663,318 is: 847,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,096 : 663,318 = 663,318 : x
  2. Step 2: Convert to fraction form
    519,096/663,318 = 663,318/x
  3. Step 3: Cross multiply
    519,096x = 663,318 × 663,318
  4. Step 4: Simplify right side
    519,096x = 439,990,769,124
  5. Step 5: Solve for x
    x = 439,990,769,124/519,096
  6. Step 6: Final answer
    x = 847,609.63

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.