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Finding the Third Proportional to 498,191 and 793,102

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Solution

The third proportional to 498,191 and 793,102 is: 1,262,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,191 : 793,102 = 793,102 : x
  2. Step 2: Convert to fraction form
    498,191/793,102 = 793,102/x
  3. Step 3: Cross multiply
    498,191x = 793,102 × 793,102
  4. Step 4: Simplify right side
    498,191x = 629,010,782,404
  5. Step 5: Solve for x
    x = 629,010,782,404/498,191
  6. Step 6: Final answer
    x = 1,262,589.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.