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Finding the Third Proportional to 277,951.50 and 579,413.25

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Solution

The third proportional to 277,951.50 and 579,413.25 is: 1,207,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,951.50 : 579,413.25 = 579,413.25 : x
  2. Step 2: Convert to fraction form
    277,951.50/579,413.25 = 579,413.25/x
  3. Step 3: Cross multiply
    277,951.50x = 579,413.25 × 579,413.25
  4. Step 4: Simplify right side
    277,951.50x = 335,719,714,275.56
  5. Step 5: Solve for x
    x = 335,719,714,275.56/277,951.50
  6. Step 6: Final answer
    x = 1,207,835.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.