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Finding the Third Proportional to 498,190 and 793,104

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Solution

The third proportional to 498,190 and 793,104 is: 1,262,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,190 : 793,104 = 793,104 : x
  2. Step 2: Convert to fraction form
    498,190/793,104 = 793,104/x
  3. Step 3: Cross multiply
    498,190x = 793,104 × 793,104
  4. Step 4: Simplify right side
    498,190x = 629,013,954,816
  5. Step 5: Solve for x
    x = 629,013,954,816/498,190
  6. Step 6: Final answer
    x = 1,262,598.52

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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.