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Finding the Third Proportional to 542,413.13 and 818,542.13

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Solution

The third proportional to 542,413.13 and 818,542.13 is: 1,235,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,413.13 : 818,542.13 = 818,542.13 : x
  2. Step 2: Convert to fraction form
    542,413.13/818,542.13 = 818,542.13/x
  3. Step 3: Cross multiply
    542,413.13x = 818,542.13 × 818,542.13
  4. Step 4: Simplify right side
    542,413.13x = 670,011,210,399.52
  5. Step 5: Solve for x
    x = 670,011,210,399.52/542,413.13
  6. Step 6: Final answer
    x = 1,235,241.52

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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.