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Finding the Third Proportional to 498,193.50 and 793,108.50

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Solution

The third proportional to 498,193.50 and 793,108.50 is: 1,262,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,193.50 : 793,108.50 = 793,108.50 : x
  2. Step 2: Convert to fraction form
    498,193.50/793,108.50 = 793,108.50/x
  3. Step 3: Cross multiply
    498,193.50x = 793,108.50 × 793,108.50
  4. Step 4: Simplify right side
    498,193.50x = 629,021,092,772.25
  5. Step 5: Solve for x
    x = 629,021,092,772.25/498,193.50
  6. Step 6: Final answer
    x = 1,262,603.97

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