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Finding the Third Proportional to 338,413.50 and 722,494

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Solution

The third proportional to 338,413.50 and 722,494 is: 1,542,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,413.50 : 722,494 = 722,494 : x
  2. Step 2: Convert to fraction form
    338,413.50/722,494 = 722,494/x
  3. Step 3: Cross multiply
    338,413.50x = 722,494 × 722,494
  4. Step 4: Simplify right side
    338,413.50x = 521,997,580,036
  5. Step 5: Solve for x
    x = 521,997,580,036/338,413.50
  6. Step 6: Final answer
    x = 1,542,484.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.