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Finding the Third Proportional to 467,121.94 and 698,250.38

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Solution

The third proportional to 467,121.94 and 698,250.38 is: 1,043,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,121.94 : 698,250.38 = 698,250.38 : x
  2. Step 2: Convert to fraction form
    467,121.94/698,250.38 = 698,250.38/x
  3. Step 3: Cross multiply
    467,121.94x = 698,250.38 × 698,250.38
  4. Step 4: Simplify right side
    467,121.94x = 487,553,586,187.64
  5. Step 5: Solve for x
    x = 487,553,586,187.64/467,121.94
  6. Step 6: Final answer
    x = 1,043,739.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.