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Finding the Third Proportional to 598,171.97 and 919,433.25

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Solution

The third proportional to 598,171.97 and 919,433.25 is: 1,413,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,171.97 : 919,433.25 = 919,433.25 : x
  2. Step 2: Convert to fraction form
    598,171.97/919,433.25 = 919,433.25/x
  3. Step 3: Cross multiply
    598,171.97x = 919,433.25 × 919,433.25
  4. Step 4: Simplify right side
    598,171.97x = 845,357,501,205.56
  5. Step 5: Solve for x
    x = 845,357,501,205.56/598,171.97
  6. Step 6: Final answer
    x = 1,413,234.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.