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Finding the Third Proportional to 275,503.50 and 417,413.25

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Solution

The third proportional to 275,503.50 and 417,413.25 is: 632,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,503.50 : 417,413.25 = 417,413.25 : x
  2. Step 2: Convert to fraction form
    275,503.50/417,413.25 = 417,413.25/x
  3. Step 3: Cross multiply
    275,503.50x = 417,413.25 × 417,413.25
  4. Step 4: Simplify right side
    275,503.50x = 174,233,821,275.56
  5. Step 5: Solve for x
    x = 174,233,821,275.56/275,503.50
  6. Step 6: Final answer
    x = 632,419.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.