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Finding the Third Proportional to 493,704 and 698,976

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Solution

The third proportional to 493,704 and 698,976 is: 989,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,704 : 698,976 = 698,976 : x
  2. Step 2: Convert to fraction form
    493,704/698,976 = 698,976/x
  3. Step 3: Cross multiply
    493,704x = 698,976 × 698,976
  4. Step 4: Simplify right side
    493,704x = 488,567,448,576
  5. Step 5: Solve for x
    x = 488,567,448,576/493,704
  6. Step 6: Final answer
    x = 989,595.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.