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Finding the Third Proportional to 538,413.75 and 844,731

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Solution

The third proportional to 538,413.75 and 844,731 is: 1,325,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,413.75 : 844,731 = 844,731 : x
  2. Step 2: Convert to fraction form
    538,413.75/844,731 = 844,731/x
  3. Step 3: Cross multiply
    538,413.75x = 844,731 × 844,731
  4. Step 4: Simplify right side
    538,413.75x = 713,570,462,361
  5. Step 5: Solve for x
    x = 713,570,462,361/538,413.75
  6. Step 6: Final answer
    x = 1,325,319.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.