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Finding the Third Proportional to 498,193 and 793,107

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Solution

The third proportional to 498,193 and 793,107 is: 1,262,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,193 : 793,107 = 793,107 : x
  2. Step 2: Convert to fraction form
    498,193/793,107 = 793,107/x
  3. Step 3: Cross multiply
    498,193x = 793,107 × 793,107
  4. Step 4: Simplify right side
    498,193x = 629,018,713,449
  5. Step 5: Solve for x
    x = 629,018,713,449/498,193
  6. Step 6: Final answer
    x = 1,262,600.46

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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.