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Finding the Third Proportional to 227,174.63 and 498,413.25

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Solution

The third proportional to 227,174.63 and 498,413.25 is: 1,093,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,174.63 : 498,413.25 = 498,413.25 : x
  2. Step 2: Convert to fraction form
    227,174.63/498,413.25 = 498,413.25/x
  3. Step 3: Cross multiply
    227,174.63x = 498,413.25 × 498,413.25
  4. Step 4: Simplify right side
    227,174.63x = 248,415,767,775.56
  5. Step 5: Solve for x
    x = 248,415,767,775.56/227,174.63
  6. Step 6: Final answer
    x = 1,093,501.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.