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Finding the Third Proportional to 348,912 and 523,800

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Solution

The third proportional to 348,912 and 523,800 is: 786,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,912 : 523,800 = 523,800 : x
  2. Step 2: Convert to fraction form
    348,912/523,800 = 523,800/x
  3. Step 3: Cross multiply
    348,912x = 523,800 × 523,800
  4. Step 4: Simplify right side
    348,912x = 274,366,440,000
  5. Step 5: Solve for x
    x = 274,366,440,000/348,912
  6. Step 6: Final answer
    x = 786,348.53

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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.