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Finding the Third Proportional to 493,318 and 737,994

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Solution

The third proportional to 493,318 and 737,994 is: 1,104,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,318 : 737,994 = 737,994 : x
  2. Step 2: Convert to fraction form
    493,318/737,994 = 737,994/x
  3. Step 3: Cross multiply
    493,318x = 737,994 × 737,994
  4. Step 4: Simplify right side
    493,318x = 544,635,144,036
  5. Step 5: Solve for x
    x = 544,635,144,036/493,318
  6. Step 6: Final answer
    x = 1,104,024.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.