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Finding the Third Proportional to 498,189 and 793,099

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Solution

The third proportional to 498,189 and 793,099 is: 1,262,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,189 : 793,099 = 793,099 : x
  2. Step 2: Convert to fraction form
    498,189/793,099 = 793,099/x
  3. Step 3: Cross multiply
    498,189x = 793,099 × 793,099
  4. Step 4: Simplify right side
    498,189x = 629,006,023,801
  5. Step 5: Solve for x
    x = 629,006,023,801/498,189
  6. Step 6: Final answer
    x = 1,262,585.13

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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.