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Finding the Third Proportional to 257,413.50 and 389,445.75

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Solution

The third proportional to 257,413.50 and 389,445.75 is: 589,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.50 : 389,445.75 = 389,445.75 : x
  2. Step 2: Convert to fraction form
    257,413.50/389,445.75 = 389,445.75/x
  3. Step 3: Cross multiply
    257,413.50x = 389,445.75 × 389,445.75
  4. Step 4: Simplify right side
    257,413.50x = 151,667,992,193.06
  5. Step 5: Solve for x
    x = 151,667,992,193.06/257,413.50
  6. Step 6: Final answer
    x = 589,199.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.