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Finding the Third Proportional to 242,589.94 and 526,413.94

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Solution

The third proportional to 242,589.94 and 526,413.94 is: 1,142,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,589.94 : 526,413.94 = 526,413.94 : x
  2. Step 2: Convert to fraction form
    242,589.94/526,413.94 = 526,413.94/x
  3. Step 3: Cross multiply
    242,589.94x = 526,413.94 × 526,413.94
  4. Step 4: Simplify right side
    242,589.94x = 277,111,633,594.25
  5. Step 5: Solve for x
    x = 277,111,633,594.25/242,589.94
  6. Step 6: Final answer
    x = 1,142,304.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.