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Finding the Third Proportional to 348,330 and 521,144

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Solution

The third proportional to 348,330 and 521,144 is: 779,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,330 : 521,144 = 521,144 : x
  2. Step 2: Convert to fraction form
    348,330/521,144 = 521,144/x
  3. Step 3: Cross multiply
    348,330x = 521,144 × 521,144
  4. Step 4: Simplify right side
    348,330x = 271,591,068,736
  5. Step 5: Solve for x
    x = 271,591,068,736/348,330
  6. Step 6: Final answer
    x = 779,694.74

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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.