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Finding the Third Proportional to 493,978 and 737,718

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Solution

The third proportional to 493,978 and 737,718 is: 1,101,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,978 : 737,718 = 737,718 : x
  2. Step 2: Convert to fraction form
    493,978/737,718 = 737,718/x
  3. Step 3: Cross multiply
    493,978x = 737,718 × 737,718
  4. Step 4: Simplify right side
    493,978x = 544,227,847,524
  5. Step 5: Solve for x
    x = 544,227,847,524/493,978
  6. Step 6: Final answer
    x = 1,101,724.87

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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.