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Finding the Third Proportional to 374,076.56 and 580,413.09

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Solution

The third proportional to 374,076.56 and 580,413.09 is: 900,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,076.56 : 580,413.09 = 580,413.09 : x
  2. Step 2: Convert to fraction form
    374,076.56/580,413.09 = 580,413.09/x
  3. Step 3: Cross multiply
    374,076.56x = 580,413.09 × 580,413.09
  4. Step 4: Simplify right side
    374,076.56x = 336,879,359,396.45
  5. Step 5: Solve for x
    x = 336,879,359,396.45/374,076.56
  6. Step 6: Final answer
    x = 900,562.59

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Why These Related Problems?

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