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Finding the Third Proportional to 348,928 and 523,824

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Solution

The third proportional to 348,928 and 523,824 is: 786,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,928 : 523,824 = 523,824 : x
  2. Step 2: Convert to fraction form
    348,928/523,824 = 523,824/x
  3. Step 3: Cross multiply
    348,928x = 523,824 × 523,824
  4. Step 4: Simplify right side
    348,928x = 274,391,582,976
  5. Step 5: Solve for x
    x = 274,391,582,976/348,928
  6. Step 6: Final answer
    x = 786,384.53

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Why These Related Problems?

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