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Finding the Third Proportional to 1,413.84 and 2,000.60

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Solution

The third proportional to 1,413.84 and 2,000.60 is: 2,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 2,000.60 = 2,000.60 : x
  2. Step 2: Convert to fraction form
    1,413.84/2,000.60 = 2,000.60/x
  3. Step 3: Cross multiply
    1,413.84x = 2,000.60 × 2,000.60
  4. Step 4: Simplify right side
    1,413.84x = 4,002,406.61
  5. Step 5: Solve for x
    x = 4,002,406.61/1,413.84
  6. Step 6: Final answer
    x = 2,830.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.