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Finding the Third Proportional to 491,413.50 and 740,578.50

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Solution

The third proportional to 491,413.50 and 740,578.50 is: 1,116,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,413.50 : 740,578.50 = 740,578.50 : x
  2. Step 2: Convert to fraction form
    491,413.50/740,578.50 = 740,578.50/x
  3. Step 3: Cross multiply
    491,413.50x = 740,578.50 × 740,578.50
  4. Step 4: Simplify right side
    491,413.50x = 548,456,514,662.25
  5. Step 5: Solve for x
    x = 548,456,514,662.25/491,413.50
  6. Step 6: Final answer
    x = 1,116,079.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.