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Finding the Third Proportional to 351,586 and 558,995

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Solution

The third proportional to 351,586 and 558,995 is: 888,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,586 : 558,995 = 558,995 : x
  2. Step 2: Convert to fraction form
    351,586/558,995 = 558,995/x
  3. Step 3: Cross multiply
    351,586x = 558,995 × 558,995
  4. Step 4: Simplify right side
    351,586x = 312,475,410,025
  5. Step 5: Solve for x
    x = 312,475,410,025/351,586
  6. Step 6: Final answer
    x = 888,759.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.