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Finding the Third Proportional to 347,350 and 519,567

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Solution

The third proportional to 347,350 and 519,567 is: 777,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,350 : 519,567 = 519,567 : x
  2. Step 2: Convert to fraction form
    347,350/519,567 = 519,567/x
  3. Step 3: Cross multiply
    347,350x = 519,567 × 519,567
  4. Step 4: Simplify right side
    347,350x = 269,949,867,489
  5. Step 5: Solve for x
    x = 269,949,867,489/347,350
  6. Step 6: Final answer
    x = 777,169.62

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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.