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Finding the Third Proportional to 351,108 and 529,760

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Solution

The third proportional to 351,108 and 529,760 is: 799,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,108 : 529,760 = 529,760 : x
  2. Step 2: Convert to fraction form
    351,108/529,760 = 529,760/x
  3. Step 3: Cross multiply
    351,108x = 529,760 × 529,760
  4. Step 4: Simplify right side
    351,108x = 280,645,657,600
  5. Step 5: Solve for x
    x = 280,645,657,600/351,108
  6. Step 6: Final answer
    x = 799,314.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.