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Finding the Third Proportional to 598,833 and 820,489.50

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Solution

The third proportional to 598,833 and 820,489.50 is: 1,124,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,833 : 820,489.50 = 820,489.50 : x
  2. Step 2: Convert to fraction form
    598,833/820,489.50 = 820,489.50/x
  3. Step 3: Cross multiply
    598,833x = 820,489.50 × 820,489.50
  4. Step 4: Simplify right side
    598,833x = 673,203,019,610.25
  5. Step 5: Solve for x
    x = 673,203,019,610.25/598,833
  6. Step 6: Final answer
    x = 1,124,191.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.