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Finding the Third Proportional to 265,413.38 and 577,481.06

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Solution

The third proportional to 265,413.38 and 577,481.06 is: 1,256,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,413.38 : 577,481.06 = 577,481.06 : x
  2. Step 2: Convert to fraction form
    265,413.38/577,481.06 = 577,481.06/x
  3. Step 3: Cross multiply
    265,413.38x = 577,481.06 × 577,481.06
  4. Step 4: Simplify right side
    265,413.38x = 333,484,377,546.13
  5. Step 5: Solve for x
    x = 333,484,377,546.13/265,413.38
  6. Step 6: Final answer
    x = 1,256,471.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.