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Finding the Third Proportional to 496,443.50 and 767,131.50

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Solution

The third proportional to 496,443.50 and 767,131.50 is: 1,185,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,443.50 : 767,131.50 = 767,131.50 : x
  2. Step 2: Convert to fraction form
    496,443.50/767,131.50 = 767,131.50/x
  3. Step 3: Cross multiply
    496,443.50x = 767,131.50 × 767,131.50
  4. Step 4: Simplify right side
    496,443.50x = 588,490,738,292.25
  5. Step 5: Solve for x
    x = 588,490,738,292.25/496,443.50
  6. Step 6: Final answer
    x = 1,185,413.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.