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Finding the Third Proportional to 498,771 and 773,889

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Solution

The third proportional to 498,771 and 773,889 is: 1,200,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,771 : 773,889 = 773,889 : x
  2. Step 2: Convert to fraction form
    498,771/773,889 = 773,889/x
  3. Step 3: Cross multiply
    498,771x = 773,889 × 773,889
  4. Step 4: Simplify right side
    498,771x = 598,904,184,321
  5. Step 5: Solve for x
    x = 598,904,184,321/498,771
  6. Step 6: Final answer
    x = 1,200,759.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.